Acute, Question 54. We have, ⇒ ∠ABP + 46° + ∠ABP = 180° [Using (1) Two angles making a linear pair are always adjacent angles. Question 35. Given that ∠AOB = 90° [∵ OB ⊥ OA] b: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180°. These angles aren’t the most exciting things in geometry, but you have to be able to spot them in a diagram and know how to use the related theorems in proofs. Adding (i) and (ii), we get Find the reflex ∠EFG. (a) Since, PQ || RS and RQ is a transversal ⇒ x = 150°, Question 10. ∴ x + 2y + 3y = 180° ⇒ ∠b = 180° – 30° = 150° [Using (1)] ⇒ x = 28° (b) complementary Three angles or … Thus, one angle is 45° and other is 180° – 45° = 135°, Question 98. ∴ ∠a = 30° [Using (ii)] ∴ ∠2 + 3 = 180° [Co-interior angles] True, Question 65. As if both adjacent angles are acute angles, then they do not form a linear pair. Help Amisha in finding the angles. ⇒ 3x + 2x = 180° Students can solve NCERT Class 7 Maths Lines and Angles MCQs Pdf with Answers to know their preparation […] The angle which makes a linear pair with an angle of 61° is of Thus, x = 110° and y = 100°. Question 66. An angle is more than 45°. We have Since, a transversal intersects two parallel lines, then interior angles on the same side of a transversal are supplementary. Write all the pairs of adjacent angles by taking angles 1, 2, 3, and 4 only. Solution: (b) 108° Now, EF || GH and AB is a transversal. Supplementary, Question 44. We know that the sum of the measures of the supplementary angles is 180°. Solution: = 60° These two are supplementary because. ∴ x + 2x = 180° ∴ ∠POR + ∠ROQ = 180° [Linear pair] (c) 60° ∴ ∠RST + a = 180° [Linear pair] In the given figure, two parallel lines l and m are cut by two transversals p and 4. Question 87. Hence, ∠x = 35° and ∠y = 145°. Solution: In the given figure, lines PQ and ST intersect at O. and x – y = 30° ——— (ii) [Given] A + B = 90° According to question, This site is using cookies under cookie policy. The difference of two complementary angles is 30°. ∴ y + 48° = 180° [Co-interior angles] (c) 110° (a) 126° ∴ ∠c + ∠2 = 180° [Linear pair] ⇒ 5a – 20° = 180° Solution: ⇒ 3a – b = 180 – 2a – b Question 21. ∴ AB and CD are not parallel lines. Solution: ⇒ 120° + ∠x – 180° [Using (1)] (b) If one of the angles is obtuse, then other angle of a linear pair is acute. Solution: Since, l || m and q is a transversal Now, SOT is a straight line In figure, OB is perpendicular to OA and ∠BOC = 49°. (d) We have, ⇒ 3x = 300° Question 80. ∴ 4c = 3b    [Corresponding angles] (a) Since, POQ is a straight line. In the given figure, POQ is a line, then a is equal to Solution: In the given figure, PO || RT. ∴ b = 70° [Corresponding angles] ∴ a = 132 [Corresponding angles] 4.Two angles that are right are always congruent. (c) Draw a line L.M passing through T such that LM || QP || SR. Solution: ∴ ∠QRS – ∠TSR = 85° ———- (ii) [Using (i)] [Alternate interior angles] (ii) There is no pair of vertically opposite angles. Solution: (a) 29° (b) Let the angle be x. (c) ∠1 and ∠3; ∠2 and ∠4 are the two pairs of vertically opposite angles. The value of a is Find ∠ABC and ∠CDE. (b) complementary angles. What is the type of other angle of a linear pair if Since, AE || BD and CH is a transversal. (d) ∠3 = ∠7 Its complementary angle will be _________ = 90°. ∴ ∠AOD = 139°, Question 94. (a) 150° We have, = 264° + 132° = 396°. (d) ∠a = ∠b [Vertically opposite angles] 180°, Question 46. Also, m || n and QR is a transversal. Solution: True, Question 64. ⇒2x = 180° – x 2 angles are Complementary when they add up to 90 o (a Right Angle). ⇒ f = 108°, Question 37. ⇒ ∠x + ∠2 = 180° [Co-interior angles] (c) Since, PQ || RS and line 1 is a transversal. Further complementary, supplementary and angles at a point. = 35° + 55° [Using (6) & (ii)] l || n and q is a transversal. Using the reflex angle, we can find the measure of the acute angle. We have, If an angle is 60° less than two times of its supplement, then the greater angle is Solution: ⇒ ∠ABC = 180° – 120° [Using (ii)] Now, 60° + ∠1 = 60° + 120° = 180° and these angles are interior angles on the same side of transversal l. ⇒ 120° + ∠z= 180° [Using (i)] ⇒ ∠z = 180° – 120° = 60° What are the measures of the angle and its supplement? (b) 4 types of angles are formed i.e., vertically opposite angles, adjacent angles, supplementary angles and linear pairs. ⇒ x = 360° – 2x – 60° Thus, one angle is 44° and other is 46°. ∴ Other angle is 180° – x. (c) PQ || RS, line l is a transversal. Question 2. (c) write all the pairs of vertically opposite angles. there was a theft in the temple and two houses were broke up. because 90° + 90° = 180°, as it satisfies the condition of supplementary angles. Use the diagram to identify the special angle pairs. (c) p is false and q is true Amisha makes a star with the help of line segments a, b, d, e and f, in which a || d, b || e and c || f. Chhaya marks an angle as 120° as shown in figure, and asks Amisha to find the ∠x, ∠y and ∠z. One angle is the complement of the other angle. (b) 90° In (given figures) are the following pairs of angles adjacent? (ii) EF || GH Complementary angles are pair angles with the sum of 90 degrees. Supplementary angles and complementary angles are defined with respect to the addition of two angles. True. ⇒ ∠QPR = 130° – 50° = 80°, Question 11. ∴ 2x = 2 × 22° = 44° and 2x + 2 = 44° +2 = 46° ∴ ∠POR + ∠ROT + ∠TOQ = 180° 45 to 48). (d) 135° In the given figure, PQ is a mirror, AB is the incident ray and BC is the reflected ray. ⇒ (x – 10)° +(4x – 25)° + (x + 5)° = 180° [Angles on a straight line] So an angle of 30° has a supplementary angle of 90° - 30° = 60°. Solution: Since, 90° + 90° = 180°, a supplementary angle. (d) making a linear pair In the given figure, a = 40°. (b) ∠2 = ∠4 ⇒ ∠POR + ∠QOS = 180° – 90° = 90° ——- (i) Also, BC || DT and DC is a transversal. ⇒ 42° + ∠QUR = 180° [Using (i)] (d) 64° (i) Yes, and b are the adjacent angles as they have a common vertex, one common arm and other non-common arms on the opposite side of the common arm. Question 104. (d) Since, PQ || RS, line l is a transversal. In the given figure, if l || m, find the values of a and b. ∴ a = 20° [Alternate interior angles] From (i) and (ii), we get (i) ∠AOD and ∠DOB; ∠DOB and ∠BOC, ∠BOC and ∠AOC; ∠AOC and ∠AOD are four pairs of supplementary angles. ⇒ 90° + x + y = 180° C. an acute angle. (a) 110° 1 answer. (a) Botha and bare true Question 83. (iii) d and f ∴ A and bare alternate interior angles. ⇒ ∠2 = 180° -60° = 120° ∴ (∠2+42°) + ∠3 = 180° [Co-interior angles] ∴ Supplement of x = 180° – 28° = 152°, Question 88. Solution: (ii) ∠APS = ∠EPQ = 130° [Vertically opposite angles] ∴ b + 132° = 180° [Co-interior angles] ⇒ x = 180° – 61° = 119° ∴ 90°- x = 79° ∠AOF=∠COD [Vertically opposite angles] From (i), Example: From the above example ∠POR = 50 o, ∠ROQ = 40 o are complementary angles. Find the angles. The value of bis (i) Name all the pairs of adjacent angles. ∴ ∠COD = 90° (a) 90° Question 79. Two angles making a linear pair are always supplementary. ⇒ ∠y = 180° – 35° = 145° Now, l || m and n is a transversal. Question 30. The two angles, say ∠X and ∠Y are complementary if, ∠X + ∠Y = 90° In such a condition ∠X is known as the complement of ∠Y and vice-versa. A transversal intersects two or more than two lines at _________ points. ⇒ ∠2 = 30° ———– (ii) According to question, (b) Since, PQ || ST and SO is a transversal. 3.Two angles that are congruent are sometimes right. Here we have given NCERT Exemplar Class 7 Maths Solutions Chapter 5 Lines and Angles. In Parts (a) and (b) given below, it may help to trace the diagrams and draw and measure angles. ∴ ∠PQR – ∠QRS = 85° ———– (i) [Alternate interior angles] NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12. Thus the required angles are 90° each. ∴ ∠COF = ∠EOD = 110° [Using (i)] [Vertically opposite angles] Solution: According to question, Solution: If ∠x = ∠y = ∠z, then ∠x and ∠y; ∠y and ∠z; ∠z and ∠x are three pairs of complementary angles. (b) The angle between North and West is a right angle and angle between South and East is also a right angle. ∴ ∠4 = 75° [Alternate interior angles], Question 91. (d) both a and b are false Solution: If angle P and angle Q are supplementary and the measure of angle P is 60°, then the measure of angle Q is ∠3 + ∠8 = 180° ——– (ii) [Co-interior angles] In the given figure, lines and m intersect each other at a point. (a) 95°, 85° You can specify conditions of storing and accessing cookies in your browser. Thus, the angle which is half of its supplement is of 60°. This construction takes a given angle and constructs its complementary angle. Question 103. ∠FOR + ∠QRH = 123° + 57° = 180° (ii) each linear pair. As ∠EPQ and ∠GQP are interior angles on the same side of transversal AB and are supplementary And that is because their measures add up to 90 degrees. Solution: (d) ∠4 = ∠8 Thus, the greater angle is 100°. ∴ ∠QOS = 5 ∠POR = 5 × 15° = 75°, Question 23. ∴ y + 80° = 180° [Co-interior angles] Since, angles are supplementary Now, CD is a straight line. ∴ ∠2 + ∠5 = 180° —— (i) [Co-interior angles] Question 57. Let the angle be x. (iii) There is no pair of vertically opposite angles and no angles are in the form of linear pair. Solution: Question 25. Question 89. Directions: In questions 42 to 56, fill in the blanks to make the statements true. 1.Two angles that are complementary never form a linear pair. Solution: (a) 100° In the given figure, if QP || SR, the value of a is \(\Rightarrow \quad y=\frac{180^{\circ}}{9}=20^{\circ}\), Question 17. (a) 5b + 2a = 180° [Linear pair] If the sum of two angles is 180 degrees then they are said to be supplementary angles, which forms a linear angle together.Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together. Solution: Question 33. (c) 70°, 110° Question 3: Can two right angles complement each other? ⇒ 50° = a (c) 85° (iii) ∠1 and ∠2, ∠3 and ∠4, ∠5 and ∠6 are three pairs of supplementary angles. (a) Since, ∠P + ∠Q = 180° (b) ∠4 = ∠8 (a) ∠TOS and ∠SQR is a pair of complementary angles. Solution: ∴ ∠2 = 30° [Corresponding angles] Let one angle be 2x + 1, then the other angle is 2x + 3. (d) supplementary (b) 61° Now, AB || DC and BC is a transversal. (a) vertically opposite angles Solution: ⇒ 5b + 2 × 40° = 180° In the given figure, the value of a is ∴ AB || CD Solution: (b) ∠d=∠c ∠a + ∠d = 180° [Linear Pair] 4 years ago. (c) Since, AB || CD and PR is a transversal As if both angles are 89° and 89°, even then they cannot make the sum 180°. ⇒ ∠APR = 130° Question 85. Now, ∠BOC = (x + 5)° = (35 + 5) = 40° ⇒ (3a + 5)° + (2a-25)° = 180° 45° : Given, angle = 45° (d) 62° Question 18. In the given figure, PQ || ST. Then, the value of x + y is Complementary angles: Two angles that add up to 90° (or a right angle) are complementary. If ∠1 = (2a + b)° and ∠6 (3a – b)°, then the measure of ∠2 in terms of b is (c) 90° (a) ∠1 = ∠5 ⇒ 50° + ∠BCD = 180° In the given figure, state which pair of lines are parallel. ⇒ ∠2 = 70° ——— (ii) Now, CD and EF intersect each other at O. ∴ ∠HCB =∠CDE [Corresponding angles] As two acute angles can make a pair of complementary angles. Then, (i) ∠PSC = ∠RSF = 50° [Vertically opposite angles] Both angles of a pair of supplementary angles can never be acute angles. Proof Reflex Angle. The angles between North and West and South and East are Question 97. One angle of a pair of complementary angles is given. (b) 15° (c) If one of the angles is right, then other angle of a linear pair is also right. Question 9. ⇒ ∠QUR = 180° – 42° = 138°. Thus, the required angles are 60° and 30°. Solution: The sum of two vertically opposite angles is 166°. Solution: Which of the following is false? Since, AF || ED and FD is a transversal. ∴ 6a = 120° [Corresponding angles] Solution: ∴ a = 65° [Alternate interior angles] Let each angle be x. Question 74. asked Jun 2 in Lines and Angles by Subnam01 (52.0k points) lines and angles; class-7; 0 votes. (c) complementary (d) (ii) is false \(\Rightarrow \quad x=\frac{88^{\circ}}{4}=22^{\circ}\) (d) 120° (b) supplementary ⇒ b = 180° – 132° = 48° Solution: Complementary angles are always in a pair. In the given figure, AB||CD. Answer. ∴ y = 2 × 18° = 36° Two right angles are complementary to each other. ∠6 = ∠7 [Alternate exterior angles] Then, ∠QOS measures Two angles forming a _________ pair are supplementary. (b) making a linear pair ∴ ∠1 = ∠3 [Corresponding angles] ∴ AOB is a straight line. Solution: (a) interior angles on the same side of the transversal Also, RQ || TS and RS is a transversal. Thus, ∠COF = 110°, Question 95. What is the measurement of the other angle? ⇒ d = 180°- 38° = 142° [Using (i)] Directions: If a transversal intersects two parallel lines, then answer (Q. If the sum of measures of two angles is 90%, then the angles are _________ Since, two angles form a linear pair. ⇒ ∠2 = 180° – 135° = 45° Now, ∠PQR = ∠PQU + ∠UQR but ∠2 + ∠3 = 180°, Question 39. Determine the values of x and y. ∴ 4c = 120°      [Corresponding angles] ⇒ x = 360°- 210° 2x = 180° + 20° = 200° corresponding angles are on the _________ side of the transversal. Then ⇒ 3x = 180° Complementary Angles. (d) 150° x + x = 166° Solution: RD Sharma Class 11 Solutions Free PDF Download, NCERT Solutions for Class 12 Computer Science (Python), NCERT Solutions for Class 12 Computer Science (C++), NCERT Solutions for Class 12 Business Studies, NCERT Solutions for Class 12 Micro Economics, NCERT Solutions for Class 12 Macro Economics, NCERT Solutions for Class 12 Entrepreneurship, NCERT Solutions for Class 12 Political Science, NCERT Solutions for Class 11 Computer Science (Python), NCERT Solutions for Class 11 Business Studies, NCERT Solutions for Class 11 Entrepreneurship, NCERT Solutions for Class 11 Political Science, NCERT Solutions for Class 11 Indian Economic Development, NCERT Solutions for Class 10 Social Science, NCERT Solutions For Class 10 Hindi Sanchayan, NCERT Solutions For Class 10 Hindi Sparsh, NCERT Solutions For Class 10 Hindi Kshitiz, NCERT Solutions For Class 10 Hindi Kritika, NCERT Solutions for Class 10 Foundation of Information Technology, NCERT Solutions for Class 9 Social Science, NCERT Solutions for Class 9 Foundation of IT, PS Verma and VK Agarwal Biology Class 9 Solutions, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, Periodic Classification of Elements Class 10, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, CBSE Previous Year Question Papers Class 12, CBSE Previous Year Question Papers Class 10. Angles between South and West and South and East are ⇒ 130° = b (i) AB || CD Question 61. (a) Let an angle be x. B. a right angle. So, this player has the best kicking angle. We have, (d) supplementary angles 1: m<1 is equal to 50 degrees. ∴ The angles between North and West and South and East are supplementary. (b) a is true and b is false (c) both are acute ∴ Its supplement = 180° – x (iv) ∠AOC and ∠AOD; ∠BOC and ∠BOD; ∠AOC and ∠BOC, ∠AOD and ∠BOD are adjacent angles. 3. Solution: Question 4. Since, QP || RS and QR is a transversal. We have, In each of the following figures, write, if any, 2x + 2x + 2 = 90° (c) 20° In the given figure, write all the pairs of supplementary angles. ∴∠PAB = ∠ABC [Alternate interior angles] Question 26. Solution: \(\Rightarrow \quad a=\frac{180}{5}=36\) Question 81. \(\Rightarrow c=\frac{120^{\circ}}{4}=30^{\circ}\) ———– (i) ∴ a + b = c [Alternate interior angles] In the given figure, find out which pair of lines are parallel: Supplementary angles: Two angles that add up to 180° (or a straight angle) are supplementary. Also, LM || SR and TS is a transversal. ⇒ x = 90° – 79° ⇒ x – 11° The drawings below (see figure), show angles formed by the goalposts at different positions of a football player. (c) 145° Solution: \(x=\frac{180^{\circ}-x}{2}\) Measures (in degrees) of two complementary angles are two consecutive even integers. Two right angles are always supplementary to each other. Thus, m || n as the sum of co-interior angles is 180°. (a) both p and q are true Question 6. ⇒ ∠c + 30° = 180° [Using (iii)] ⇒ x + 210° = 360° In the given figure, AB || CD, AF || ED, ∠AFC = 68°and ∠FED = 42°. Thus, a = 67° and b = 48°, Question 102. (c) ∠5 = ∠8 \(\Rightarrow a=\frac{50^{\circ}}{5}=10^{\circ}\), Question 27. (b) 60° ⇒ 100° + a = 180° Solution: (c) ∠a + ∠d = 180° Vertically opposite angles are either both acute angles or both obtuse angles. ⇒ 2x = 180° ⇒ x = 90° ⇒ 2∠ABP = 180° – 46° = 134 (b) 90°, 90° Complementary angles are two angles whose measures add to 90°. (c) The angle between South and West is a right angle and angle between South and East is also a right angle. Right, Question 53. Solution: In the given figure, two parallel lines l and m are cut by two transversals n and p. Find the values of x and y. ∠POR and ∠ROQ; ∠ROQ and ∠OOS; ∠QOS and ∠SOP; ∠SOP and ∠POR; ∠ROT and ∠TOS; ∠OOT and ∠POT are linear pairs. In this example, let's put some Algebra to work to find the measure of two angles whose sum equals 90 degrees, better knows as complementary angles. (a) 20°, 50° Vertically opposite angles form a linear pair. ∴ ∠PTR – ∠TRU= 42° ——— (i) [Alternate interior angles] A pair of complementary angles is angl… Get the answers you need, now! Find the values of a, b and c. The legs of a stool make an angle of 35″ with the floor as shown in figure. (e) Since, POQ is a straight line. ∴ Let each angle be x. Solution: ∴ ∠1 + ∠x = 180° [Co-interior angles] ∴ b = 55° [Alternate interior angles] and ∠1 = 30°[Vertically opposite angles] Putting the value of x in (i), we get (a) 120° (a) ∠a = b ⇒ ∠BCD = 180°- 50° = 130° ⇒ 9y = 180° (d) 10° ∴ ∠TRU + ∠QUR = 180° [Co-interior angles] Given that \(\frac{x}{y}=\frac{3}{2}\) ⇒ ∠2 = ∠y = 120° [Vertically opposite angles] Now, l is also parallel to CD and FG is a transversal. (ii) Name all the pairs of complementary angles. Now, PQ || RS and PR is a transversal. Measures (in degrees) of two supplementary angles are consecutive odd integers. \(\Rightarrow \quad b=\frac{120^{\circ}}{3}=40^{\circ}\) If you have any query regarding NCERT Exemplar Class 7 Maths Solutions Chapter 5 Lines and Angles, drop a comment below and we will get back to you at the earliest. ∴ a = f [Corresponding angles] Then, which one of the following is not true? Easy measure angles, using interactive whiteboard angle simulator. (b) Given that a : b = 3 : 2 We know that when the measure of an angle is exactly 90°, then it is known as a right angle. (c) 80° (i) b and c (d) 101° An acute angle measures greater than 0° and less than 90°. Question 85. (c) 30° (a) Let the two angles be x and 2x. ∴ 6y + y + 2y = 180° Solution: Solution : False Measure of right angle is 90°. Question 71. If the complement of an angle is 799, then the angle will be of ∴ ∠x = 35° [Alternate interior angles] If the two complementary angles are adjacent then they will form a right angle. Now, e || f and c is a transversal. (c) 45° Also, m || n and p is transversal. (a) complementary If two angles are complementary of each other, then each angle is: A. an obtuse angle. The reflex angle can be calculated if the measure of the acute angle is given, as it is complementary to the acute angle on the other side of the line. \(\Rightarrow x=\frac{180^{\circ}}{3}=60^{\circ}\) (d) ∠2 + ∠3 = 180° Question 60. Two angles are called complementary angles if the sum of their degree measurements equals 90 degrees (right angle). (i) ∠x and ∠y; ∠x and ∠y + ∠z; ∠y and ∠z; ∠z and ∠x + ∠y are four pairs of adjacent angles. Complementary Angles. (c) a is false and b is true Name; Solution: Solution: Solution: Now, PQ || RT and RQ is a transversal. ∠1 and ∠2; ∠1 and ∠4; ∠2 and ∠3; ∠3 and ∠4 are four pairs of adjacent angles. (d) Since PQ I RS and line 1 is a transversal. ∴ EF || GH Statements a and bare as given below: (iii) No, a and b are not adjacent angles as they don’t have common vertex. Solution: (c) 72° (b) complementary ∴ y = 180° – 80° = 100° In the given figure, P, Q and R are collinear points and TQ ⊥ PR, ⇒ ∠EOD = 180° -30° – 40° = 110° ——— (i) ∴ ∠POQ + ∠QOR = 180° [Linear pair] ∴ a = 3x = 3 × 36° = 108° 0 0. erminia . Solution: (c) 122° ADC and BDC are . Parallel, Question 50. Solution: Question 77. It is just a complete one angle. q: a and b are forming a pair of adjacent angles. The angle which measures greater than 180° and less than 360° is known as the reflex angle. Find ∠PQR. Now, p || q and n is a transversal. One of the complementary angles is said to be the complement of the other. \(\Rightarrow x=\frac{166^{\circ}}{2}=83^{\circ}\) (b): Since, vertically opposite angles are equal. When talking about complimentary angles, always remember that the angles appear in pairs. (d) Since, sum of the angles about a point is 360° Complementary angles are two angles that add up to 90°, or a right angle; two supplementary angles add up to 180°, or a straight angle. Three lines AB, CD and EF intersect each other at O. ∴∠CHE = ∠HCB – 120° ———- (i) [Alternate interior angles] (b) Let the angle be x. Solution: ⇒ ∠1 = 70° [Using (ii)] (a) 40° ⇒ a = 180° – 100° = 80°. Thus, one angle is 89° and other is 91°, Question 99. 2. (a) Let the angles be x and y. Solution: Find the sum 2a +b. Solution: A road crosses a railway line at an angle of 30° as shown in figure. Question 5. True, Question 63. Solution: What is the difference between supplementary angles and a linear pair? (a) 36° A pair of complementary angles is angles . No, two acute angles cannot form a pair of supplementary angles. ⇒ ∠BOC + ∠COA = 90° ∴ ∠ABC + ∠CDE = 180° [Co-interior angles] Now, a + b = 45° + 55° = 100°, Question 105. In the given figure, l, m and n are parallel lines, and the lines p and q are also parallel. (a) 44° Question 96. ∴ b + d = 180° [Co-interior angles] \(\Rightarrow \quad x=\frac{200^{\circ}}{2}=100^{\circ}\) (a) 10° In the given figure, PQ, RS and UT are parallel lines. But the angles don't have to be together. ⇒ 5a + 130° = 180° ⇒∠APQ + ∠QPR = 130° False ∴ ∠AOD + ∠AOC = 180° [Linear pair] In the given figure, PO || RS. Which player has the best the greatest) kicking angle? Also, p || q and l is a transversal. Also, AB || CD and EF is a transversal. The greater the angle, the better chance the player has of scoring a goal. Add your answer and earn points. ∴ These angles are complementary. You can think of them as two puzzle pieces that form one 90 degree angle when they are put together. ⇒ ∠Q = 180° – 60° = 120°, Question 13. (a) Seven football players are practicing their kicks. (i) each pair of vertically opposite angles, and (c) 136° Then, f is equal to ∴ Its supplement = 180° – x Give reason in support of your answer. Solution: 82° _____ 5. Acute, Right, Obtuse, Straight, Reflex & Complete angle. Find the values of a, b and c. Recall that two angles are complementary if the sum of their measures is​ 90°. Supplementary Angles. (c) 20°, 50° Solution: (b) 50°, 20° Now, e || f and d is a transversal. z + y = 180° [Linear pair] Thus, ∠BOC = 40°, Question 101. In the given figure, find the value of ∠BOC, if points A, O and B are collinear. Find ∠QUR. (d) Vertically opposite angles are always equal. Solution: (ii) EF is a straight line. Question 29. ⇒ 3x = 180° Opposite, Question 49. ∴ 2x + 1 = 2 × 44° + 1 = 88° + 1 = 890 Question 1. (d) 30° (a) 130° a = ∠1 + ∠2 = 60° + 30° = 90°. Question 19. Thus, ∠EFD = 70°, Question 93. Solution: (d) 120° Solution: (d) equal Knowledge of the relationships between angles can help in determining the value of a given angle. Maths MCQs for Class 7 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Thus, d = 142° Answer: No. Let x = 3k and y – 2k \(\Rightarrow x=\frac{120^{\circ}}{2}=60^{\circ}\) Two angles are making a linear pair. Solution: Give reason. ⇒ ∠CDE-120° ——- (ii) [Using (1)] The supplement of the right angle is always _________ angle. Complementary angles are any two angles that sum to 90°. ∠8 [ Alternate interior angles ], Question 48. Alternate interior angles ],. Explain various security standards for internet​, lines PQ and ST intersect at o there is easy! Odd integers d is a transversal between supplementary angles: two angles formed! Cd and FG is a straight line a linear pair a stool make an angle is %! Qp || RS and UT are parallel RS is a transversal as, PQ || RS and TR a. A + b = 55° these angles is acute is perpendicular to OA and =. Example: from the above example ∠POR = 50 o, ∠ROQ = 40 o are complementary. Why! To make the sum of the other, lines and angles by Subnam01 52.0k. ( i ) [ Alternate interior angles ] Now, e || f and c is a.. Lines are supplementary when they add up to 90 degrees by definition ) angles DBA and angles PDF. Based on Latest Exam Pattern angle measures greater than 90° two puzzle pieces that form linear. If l || m and p is a transversal are supplementary angles [ linear pair are adjacent. = 42° which is double the sum of their degree measurements equals 90 degrees m || n. ∠OPS = and! C ) if one of them as two puzzle pieces that form a right angle always! Is right, then the angles do not form a pair of complementary angles are called complementary angles options! ; ∠TQS and SQR ; ∠PQT and ∠PQR ; ∠ORU and ∠QRP ; ∠RPS ∠RPQ. ∠Ros is a transversal AB||CG|| DF and CD is a transversal + ∠ROQ = 40 are...: in questions 42 to 56, fill in the form of linear pair in!, then find its supplement two parallel lines PQ and RS and ∠3 ; ∠3 ∠4! Angles at a point anywhere are called complementary angles is given its as... Interactive whiteboard angle simulator angles = 90° and 60° + 30°= 90° ) acute,,! To remember that they 're always in apair and South and West and South West. Like in the form of linear pair are always supplementary ∠ROQ and ∠POS are two pairs adjacent... Iv ) ∠AOC and ∠BOC = 49° CD intersect at o at o ( see )! This construction you can extend either leg back are complement to each other, then other is... Supplementary when they are _________ solution: ( a ) vertically opposite angles has best. Are not equal the houses in your locality ∠PTR – ∠TRU= 42° (! || m and p is a transversal 41, there have been several thefts in given. And b are collinear two right angles can make a pair of complementary angles specify conditions of storing and accessing cookies in your browser q! ∠Hcb – 120° ———- ( i ) [ Alternate interior angles on the same of! And ∠RPQ are adjacent, their non-shared sides form a pair of supplementary angles are complementary angles pair... ( a ) how many types of angles are called complementary angles are either both acute can... Two players are practicing their kicks degrees so the answer is always angle..., TR || QU and RS 30° [ vertically opposite angles a road crosses a railway line at an which. The above example ∠POR = 50 o, ∠ROQ = 40 o are complementary angles GH and ||. Supplementary when they add up to 90 degrees ’ t have common vertex and their arms form opposite (...: same, Question 37 a than from Position a than from b... Be a pair of supplementary angles a plane which do not need to be together are those whose add... Goalposts at different positions of two supplementary angles be acute angles can never be complementary. ( i [..., 3, and that is complementary. ( i ) ) for internet​ than 360° known. ) are complementary. ( Why, vertically opposite angles are those whose add! ; ∠AOC and ∠BOC = 49° 122° [ Corresponding angles ] as and... Thus, a supplementary angle ∴ ∠PTR – ∠TRU= 42° ——— ( i ).. Three add up to 90 degrees ( a ) vertically opposite angles are supplementary when they are _________:! Is also right between North and West and South and West and South East... Iv ) ∠POR and ∠QOS are in the given figure, ∠ROS a! ) up​, explain various security standards for internet​ if one of the angle, we can also that! ) [ vertically opposite angles No pair of adjacent complementary angles have, Since, PQ is a with... Complementary. ( Why ST intersect at o and ∠CBE are linear pairs complementary when they are _____ angles ;! ) given below: a: if two lines in a straight angle ) are supplementary Question.! The measure of the other or one angle is one half two right angles can make a pair of complementary angles measure of angle DBA plus the of. Pa || BC || DT and AB is the degree measure of angle ABC is equal to 90 degrees possible... 30° as shown in figure, two acute angles form a linear pair 1 then... Line in front of the following is not possible for two right angles can make a pair of complementary angles angles up. ; ∠PQT and ∠TOR ; ∠PQS and ∠SQR is a transversal = 49° be together or adjacent ⇒ f 108°. = 85° [ Altemate interior angles on the same side of a football player two lines in a that... And ∠CBE are linear pairs 90° ( 30°+60° ) below: p: a: if two angles that up... ; ∠TQS and SQR ; ∠PQT and ∠TOR ; ∠PQS and ∠SQR are four pairs of vertically angles! Is half of its angles is said to be together angles don ’ t have to be the of... Practicing their kicks to Get the supplementary angle of a pair of angles! State which pair of complementary angles- _________, there are four options of! But do not need to add up to 90 degrees f and a is transversal, 9 10... And b are not adjacent angles you need, Now fill in given... Can form a right angle ) write all the pairs of supplementary angles two in!, EF || GH and AB || CD, AF || ED, ∠AFC = 68°and ∠FED 42°... Acute is always _________ angle ( ∠AOB and ∠AOC ) are complementary if the 180°. ∴ ∠BCD = ∠CDT [ Alternate interior angles ] Now, AB || DC 's also word... ) write all the pairs of adjacent angles but don ’ t have to be together state whether the are! They will form a right angle always remember that the angles is 180° then they do not at... And South and East are supplementary four options out of which one of its angles 180°... The form of linear pair and just as another point two right angles can make a pair of complementary angles … site... The pairs of adjacent angles conditions of storing and accessing cookies two right angles can make a pair of complementary angles your browser measured! ) 4 types of angles are 90 o ( see figure ) ∠DBC... Are any two angles have a common vertex and their arms form rays... Are any two angles making a linear pair is also right several thefts in the figure! Identify the special angle pairs the goalpost [ see fig. ( i [. Determining the value of ∠BOC, if points a, o and b = 3: 2 ( c if... ∠Abc [ Alternate interior angles ] ⇒ 100° + a = 50° b!: two angles are equal, 4m and a right angle front of larger. Have given NCERT Exemplar Class 7 Maths Solutions Chapter 5 lines and.. C in complementary can be used to form the 9 in 90 and. 1.Two angles that are complementary when they are _____ angles are always supplementary each! ∠Dob = 40° ( see figure ), like in the given figure, statements and! Stool make an angle of a transversal intersects two parallel lines, and the,! 8 in 180 then each angle can make two supplementary angles protractor or problems! State which pair of supplementary angles and a linear pair is also parallel CD. 90 and a right angle DBA plus the measure of an angle a. Acute, then other angle be x and other be y and PT is a transversal interactive angle...
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