In the given figure, PQ is a mirror, AB is the incident ray and BC is the reflected ray. (a) 60°, 30° ∴ EF and GH are not parallel lines. Strictly sticking to traditional definitions, supplementary and complementary only refers to two angles… Question 25. ∠ ABD is a compliment of ∠ DBC because; ∠ ABD + ∠ DBC =90° (right angle). ⇒ ∠3 – 180° – 105° = 75° [From (ii) part] (b) Since, PA || BC and AB is a transversal. Question 19. (b) ∠d=∠c Also, ∠EFG = ∠1 + ∠2 – 34° +45° = 79° Now, c || d and e is a transversal. (b) 108° b: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is 180°. always. (d) Let the angle be x. In the given figure ∠AOB and ∠BOC are complementary as ∠AOB + ∠BOC = 30° + 60° = 90°. (d) 75° ∴ AB and CD are not parallel lines. [ ∵∠AOE = 30° and ∠DOB =40° (given)] Question 104. a complementry angle … Thus, x = 110° and y = 100°. The value of bis ⇒ x = 720° – 4x Question 66. (b) Statement a is true but statement b is false since, if a transversal intersects two parallel lines, then the sum of two interior angles on the same side of the transversal is 180°. ⇒2x = 180° – x Adding (i) and (ii), we get Then, which one of the following is not true? Now, CD is a straight line. Solution: ∠1 and ∠2; ∠1 and ∠4; ∠2 and ∠3; ∠3 and ∠4 are four pairs of adjacent angles. If the complement of an angle is 799, then the angle will be of ⇒ ∠2 = 180° -60° = 120° (c) Estimate atleast two situations such that the angles formed by different positions of two players are complement to each other. (d) 120° Solution: This site is using cookies under cookie policy. Solution: In the given figure, POQ is a line. (b) 15° If ∠1 = (2a + b)° and ∠6 (3a – b)°, then the measure of ∠2 in terms of b is Find the sum 2a +b. (a) If one of the angles is acute, then other angle of a linear pair is obtuse. Question 34. (a) Botha and bare true (a) Let an angle be x. (b) ∠2 = ∠4 Two angles are “equal and supplementary” to each other. In the given figure, if PQ || RS and QR || TS, then the value of a is Supplementary, Question 44. 8. = 90°. For given figure, statements p and q are given below: ∴ ∠COD = 90° $$\Rightarrow x=\frac{166^{\circ}}{2}=83^{\circ}$$ Here we have given NCERT Exemplar Class 7 Maths Solutions Chapter 5 Lines and Angles. According to question, My answer-- Vertical angles Three angles or more angles whose sum is equal to 90 degrees cannot also be called complementary angles. ∴ 6y + y + 2y = 180° The supplement of an obtuse angle is always _________ angle. In a pair of adjacent angles, NCERT Exemplar Class 7 Maths Chapter 5 Lines and Angles are part of NCERT Exemplar Class 7 Maths. ⇒ 2x = 166° (c) ∠a + ∠d = 180° If not, then one is greater than the other, which implies its supplement is less than the supplement of the other angle. 1 decade ago. (d) 120° (a) 100° Give reason in support of your answer. ⇒ 130° + y = 180° Also, a || d and f is a transversal. Acute, Question 54. (b) 100° (b) 80° Two angles making a linear pair are always adjacent angles. Directions: In questions 57 to 71, state whether the statements are True or False. and b = 132° [Vertically opposite angles] ∴ ∠TUR = ∠UVQ = 122° [Corresponding angles] Also, BC || DT and DC is a transversal. (a) 95° (c) ∠3 + ∠8 = 180° Then, f is equal to (i) ∠AOB and ∠BOC; ∠AOC and ∠COD; ∠AOB and ∠BOD; and ∠BOC and ∠COD are adjacent angles. (c) 5° (b) 30° The supplement of an acute is always _________ angle. In the given figure, line l intersects two parallel lines PQ and RS. 0 0. (a) both p and q are true Now, QP || RS and PR is a transversal. (b) one of its angles is obtuse? (d) 80°,100 ∴ ∠TRU + ∠QUR = 180° [Co-interior angles] ⇒ ∠2 = 30° ———– (ii) ∴ ∠1 + ∠5 = 180° [By(i)and(iii)] Angles which are both supplementary and vertically opposite are (ii) AB and CD Question 1. Solution: Solution: Question 4. sometimes. Question 103. 45 to 48). From (i) and (ii), we have (c) (45°, 45°) and (60°, 30°) are the two pairs of angles formed by different positions of two players such that they are complement to each other. When the sum of two angles is 90°, then the angles are known as complementary angles. …, urney the driver of the bus changes the tyres including the spare one regularly so that at the end of the journey each tyres has traveled equal distance. is this your homework? An angle which is half of its supplement is of ∴ Angles measuring 30 and 60 degrees. Find the values of a, b and c. (c) alternate interior angles it is composed of two acute angles measuring less than 90 degrees. (d) equal ∠1 +∠2 = 180° [Angles on a straight line PQ] ⇒ 4x = 90° – 2 = 88° Solution: Thus, a = 67° and b = 48°, Question 102. ∠d = ∠c [Vertically opposite angles] Since, PQ || RT and PR is a transversal. $$\Rightarrow \angle A B P=\frac{134^{\circ}}{2}=67^{\circ}$$. Find the values of a and b. Solution: Two adjacent angels are both acute angles. (b) 30° Thus, ∠x = 60°, ∠y = 120°and ∠z = 60°, Question 92. Thus angle ABC above is the supplement of angle ABD, and vice-versa. Complementary angles always have positive measures. We hope the NCERT Exemplar Class 7 Maths Chapter 5 Lines and Angles will help you. True $$\Rightarrow b=\frac{100^{\circ}}{5}=20^{\circ}$$. ∴ Its complement = 90° – x l || n and q is a transversal. Solution: (c) 13° When two lines cross, they form two pairs of vertical angles. False (i) Since, PQ || UT and PT is a transversal. but ∠4 ≠ ∠8, Question 38. In the given figure, a = 40°. Solution: ∴ y + 80° = 180° [Co-interior angles] Solution: ⇒ x = 150°, Question 10. the whole is greater than the sum of its parts. Image Will be uploaded soon. True According to question, (c) 45° ⇒ ∠2 = 180° – (2a+ b)° ——– (ii) [∵ ∠1 = (2a + b)° (given)] Thus, both the angles are of 83°. (b) 50°,130° ⇒ b = c – a As per the Congruent supplement Theorem, two angles which are are supplementary to the same angles then those two sets of angles are congruent to each other. ∴ The bigger angle is 2x = 2 × 60° = 120°. Solution: x + x = 166° 1.Two angles that are complementary never form a linear pair. p: a and bare forming a linear pair. Solution: Solution: Solution: True Since, 90° + 90° = 180°, a supplementary angle. (d) (ii) is false 20-30 17 We have, (iv) Let the angle between c and fig ∠4. Solution: If ∠x = ∠y = ∠z, then ∠x and ∠y; ∠y and ∠z; ∠z and ∠x are three pairs of complementary angles. Now, ∠BOC = (x + 5)° = (35 + 5) = 40° Two right angles are congruent. ⇒ ∠COA – 41° ——— (i) (c) 100°, 60° ∴ ∠1 = ∠2 [Alternate interior angles] Solution: Question 68. Solution: ⇒ ∠ABP + 46° + ∠ABP = 180° [Using (1) Relevance. Being congruent means that these two angles would be equal to each other and hence they would be optically superimposable. Question 60. ⇒ 5a = 180° – 130° = 50° Now, PO is a straight line. (c) four pairs of adjacent angles. In the given figure, AB||CD. Solution: (e) Since, POQ is a straight line. Solution: (c) vertically opposite (a) 13 angles are formed. Also, TR || QU and RS is a transversal. (d) 20° Thus the required angles are 90° each. ∴ A and bare alternate interior angles. (c) 150° $$\Rightarrow \quad x=\frac{88^{\circ}}{4}=22^{\circ}$$ $$\Rightarrow a=\frac{50^{\circ}}{5}=10^{\circ}$$, Question 27. Adding (i) and (ii), we get ∴ ∠RSC + ∠CSF = 180° [Linear pair] $$\frac{\angle P O R}{\angle Q O S}=\frac{1}{5}$$ ok i'm in GT math. (a) how many angles are formed? ∴ ∠PQT = ∠LTQ [Alternate interior angles] ⇒ x + 210° = 360° (a) (2 + b)° Name the pairs of supplementary angles in the following figures: ⇒ 5b + 2 × 40° = 180° ⇒ 5y = 180° – 30° = 150° The sum of two vertically opposite angles is 166°. (a) alternate exterior angles (c) 80 = 264° + 132° = 396°. Hence, in this case these two angles are considered congruent. Thus, ∠COF = 110°, Question 95. Now, PQ || RT and RQ is a transversal. Help Amisha in finding the angles. (c) 36° Yes. If an angle is 60° less than two times of its supplement, then the greater angle is (ii) d and e The sum of two opposite angles of a parallelogram is 150 degree .find the measure of each of its angles. Solution: Two angles are making a linear pair. ⇒ x = 180° – 66° = 114° Solution: ⇒ ∠2 = 70° ——— (ii) ⇒ 60° – ∠L ——— (i) (c) a is false and b is true (d) In figure (d), a and bare adjacent angles since, they have a common vertex, common arm and also, their non-common arms are on either side of common arm. $$\Rightarrow \quad k=\frac{90^{\circ}}{5}=18^{\circ}$$ Can two acute angles form a pair of supplementary angles? Now, ∠PQR = ∠PQU + ∠UQR Solution: ∴ x + 2x = 180° The value of a is ∴ a = 132 [Corresponding angles] ⇒ B = 90° – A Now, e || f and d is a transversal. Let x = 3k and y – 2k ∴ ∠1 = 34° [Alternate interior angles] The angle The angles x and 90° – x are Now, 60° + ∠1 = 60° + 120° = 180° and these angles are interior angles on the same side of transversal l. = 60° (i) ∠AOD and ∠DOB; ∠DOB and ∠BOC, ∠BOC and ∠AOC; ∠AOC and ∠AOD are four pairs of supplementary angles. (b) 4 types of angles are formed i.e., vertically opposite angles, adjacent angles, supplementary angles and linear pairs. Question 76. Find the angles x and y. The proposition continues by stating that on a transversal of two parallel lines, corresponding angles are congruent and the interior angles on the … (c) alternate interior angles Question 22. ∴ 2x = 2 × 22° = 44° and 2x + 2 = 44° +2 = 46° (c) (108 – b)° ⇒ a = 67° ⇒ 3x + 2x = 180° Solution: (i) b and c Solution: Question 9. ⇒ (3a + 5)° + (2a-25)° = 180° ∴ 6a = 120° [Corresponding angles] (c) p is false and q is true In a right angled triangle, the two non-right angles are complementary, because in a triangle the three angles add to 180°, and 90° has already been taken by the right angle. (b) complementary angles. A linear pair may have two acute angles. (i) Name all the pairs of adjacent angles. because 90° + 90° = 180°, as it satisfies the condition of supplementary angles. Question 3. c || f and a is transversal. Find ∠PQR. ∴ ∠PQR + ∠RQO = 180° [Linear pair] (d) ∠a = ∠b [Vertically opposite angles] ∴ b = 70° [Corresponding angles] Question 62. ∴ EF || GH, Question 113. 2x = 180° + 20° = 200° (c) 110° ∴ y = 180° – 80° = 100° (ii) Name all the pairs of complementary angles. Two right angles are always supplementary to each other. Thus, ∠ABC = 60° and ∠CDE = 120°, Question 100. Now, a || d and c is a transversal. mohanrao d. Lv 7. Let one angle be 2x + 1, then the other angle is 2x + 3. 7 Answers. If the sum of measures of two angles is 90%, then the angles are _________ Now, RS is a straight line. (a) All (i), (ii) and (iii) are true ∠POR and ∠ROQ; ∠ROQ and ∠OOS; ∠QOS and ∠SOP; ∠SOP and ∠POR; ∠ROT and ∠TOS; ∠OOT and ∠POT are linear pairs. Since, l || m and p is a transversal. One of the complementary angles is said to be the complement of the other. ∴ Angles between South and West and South and East are making a linear pair. (b) complementary Solution: (d) supplementary angles Question 45. Question 73. Solution: 10-20 5 Thus, the greater angle is 100°. 45° : Given, angle = 45° = 35° + 55° [Using (6) & (ii)] False $$x=\frac{180^{\circ}-x}{2}$$ (c) 55° ∴ a = 65° [Alternate interior angles] $$\Rightarrow x=\frac{120^{\circ}}{2}=60^{\circ}$$ true. ∠1 = 120° [Vertically opposite angles] Solution: (c) 16° (iii) uncommon arms are always opposite rays. Then, sum of two right angles will be (90°+ 90°) = 180°. (a) Let the angles be x and y. x = 4 (180° – x) While vertical angles are not always supplementary, adjacent angles are always supplementary. ∴ ∠PTR – ∠TRU= 42° ——— (i) [Alternate interior angles] Solution: Again, ∠PQR and ∠QRP are complementary as ∠PQR + ∠QRP = 40° + 50° = 90°. Question 67. Since, l || m and AB is a transversal. We have, Two right angles are always supplementary to each other. ⇒ ∠c + 30° = 180° [Using (iii)] Two angles are equal and supplementary to each other. In the given figure, PO || RS. Since, PQ || RS and TR is a transversal. In the given figure, QP || RS. Therefore, two angles cannot be supplementary if both of them are obtuse. (a) 36° If x= 30°, then ∠QOR is Solution: Question 80. (d) supplementary As a linear pair has one acute angle and one obtuse angle. (d) ∠3 = ∠7 ∴ ∠COF = ∠EOD = 110° [Using (i)] [Vertically opposite angles] Now, p || q and m is a transversal. ⇒ x = 180° – 61° = 119° Its complementary angle must be less than 45°. (ii) PQ || UT and PT is a transversal. (b) 144° (iii) d and f Solution: ∴ a = 36 In the given figure, PQ || ST. Then, the value of x + y is X = 90 degrees. (b) supplementary (d) 60° Solution: True. Solution: Solution: Question 29. (b) Given that a : b = 3 : 2 (c) ∠5 = ∠8 Draw a histogram ∴ x + 66° = 180° [Co-interior angles] ⇒ a = 180° – 100° = 80°. Measure of a right angle is 90°. Also, m is a straight line. Now, l || m and n is a transversal. ⇒ ∠RSC = 180° – 65° = 115° Question 57. Since, l || m and q is a transversal. In the given figure, a and bare Marks f Those Adjacent Angles Are Complementary. ⇒ 5 ∠POR = ∠QOS ——– (ii) Find ∠QUR. Then, the values of a and bare respectively. We have, two angles that have a common side are____ adjacent. Question 90. We have, As ∠APS and ∠PSC are interior angles on the same side of transversal EF and are supplementary. (d) 10° $$\Rightarrow x=\frac{300^{\circ}}{3}=100^{\circ}$$ (a) Seven football players are practicing their kicks. ⇒ x + 4x = 720° ⇒ 120° + ∠z= 180° [Using (i)] ⇒ 130° = b (ii) Let the angle between d and e is ∠2. Question 2. Then, angles a and bare respectively (i) vertex is always common, You can sign in to vote the answer. (c) making a linear pair (b) ∠4 = ∠8 Thus, one angle is 100° and other is 80°. Since, AB || l and EF is a transversal. This implies that there are interior angles on the same side of the transversal which are less than two right angles, contradicting the fifth postulate. The angles x – 10° and 190° – x are Solution: (a) 36° Find the value of a + b. Question 59. (a) supplementary Solution: (d) 60° ∴ x + y = 90° ———(i)     [Angles are complementary] (b) 4th player has the greatest kicking angle. (d) both a and b are false (c) Since, PQ || RS and line 1 is a transversal. 90°, Question 55. Now, a + b = 180° [Angles on a straight line PQ] Right, Question 53. Acute angle are those measured less than 90^o. (d) We have, find them. Given that ∠AOB = 90° [∵ OB ⊥ OA] Its complement -90° – x (d) 154° alternate Interior angles are on the _________ side of the transversal. Since, l || m and q is a transversal (b) 125° Let each angle be x. Find the angles. As if both angles are 89° and 89°, even then they cannot make the sum 180°. ∴ ∠QOS = 5 ∠POR = 5 × 15° = 75°, Question 23. (ii) one arm is always common, and …, ar is her work place from herhouse?bor house​. Putting value of x in (i), we get (a) 120° (b) making a linear pair (b) 46° (a) ∠1 = ∠5 Solution: Two angles forming a _________ pair are supplementary. Solution: Let the angle be x. ⇒ 720° = 5x ∴ ∠5 = ∠8 [Alternate interior angles], Question 40. ⇒ ∠AOD = 180°- 41° [Using (1)] ⇒ ∠x = 180° – 120° = 60° Supplementary angles are two angles whose measures sum to 180 degrees. (a) vertically opposite angles (c) If one of the angles is right, then other angle of a linear pair is also right. Question 26. False. (a) interior angles on the same side of the transversal Find ∠EFD. ⇒ 60° + 20 = 180° Question 20. Question 74. ∴ ∠HCB =∠CDE [Corresponding angles] Solution: Common examples of complementary angles are: Two angles measuring 45 degrees each. (c) (i) is false but (ii) and (iii) are true ∴ ∠1 + ∠x = 180° [Co-interior angles] (c) 136° In the given figure, if AB || CD, ∠APQ = 50° and ∠PRD = 130, then ∠QPR is Solution: (b) (3 – 6)° Then, sum of two right angles will be (90°+ 90°) = 180°. Question 71. and its supplement = 180° – x= 180°- 100 = 80° In the given figure, the value of x is From (i) and (ii), we get ⇒∠APQ + ∠QPR = 130° Solution: ∴ ∠ABP + ∠ABC + ∠CBQ = 180° ∠2 = ∠4 [Corresponding angles] (b) complementary angles ∴ ∠x = 35° [Alternate interior angles] Not necessary that the two angles have a common side are____ adjacent two lines! And c. solution: no, a and bare forming a pair of supplementary angles 1 8 0 O write! 180° ⇒ a = 65° and b = 70° [ Corresponding angles ] Now, l || m find. Are always supplementary obtuse, then find its supplement is of ∴ solution: False if... Lines PQ and RS UT are parallel lines PQ and RS = ∠UVQ = 122° [ Corresponding angles,... A = 65° [ Alternate interior angles ] hence, a + =., 9, 10, 11 and 12 opposite rays ( see figure ), the. Following pairs of supplementary angles Now, l, m and AB || DC and BC is a transversal,! Up as shown in figure, ∠3 and ∠4 are the following is not True, 48.... Find ∠COF then /_A+/_B < 180^o therefore, two acute angles ∴ ∠ABP = ∠CBQ ——– ( 1 ),. Qu and ∠PTR = 42° 50° 60° and 30° 85° and 5° and... Is said to be vertical angles are right angle wire are placed on the _________ side of and. House at 9 a.m. and reachesher workplace by bus at 10:30 a.m ∴ ∠TUR = =! Should be 180 0 ∠SQR and ∠PQS are two angles is 90 %, then other angle of a.! 180° then they can not make the sum of two players are complement to each other taking... 30° [ Corresponding angles ] Now, c || d and e is ∠2 and is! Called supplementary angles are either both acute angles can not be supplementary if both of them be right is,. Each tyres during the entire journey = c [ Alternate interior angles ] Now, e f. Put together, they form a right-angle triangle and making an l shape angles from among four... And RS ∠SQR are four pairs of supplementary angles Seven football players are their. Best kicking angle CD, AF || ED and FD is a transversal,!, and 4 in questions 57 to 71, state which pair of complementary angles are opposite to other. ∠Ptr – ∠TRU= 42° ——— ( i ) ) ⇒ f = 108°, Question.... And hence they would be optically superimposable for given figure, l || m || n. ∠OPS = and... As it satisfies the condition of supplementary angles can never be acute angles measuring degrees! Workplace by bus at 10:30 a.m because ; ∠ ABD + ∠ DBC =90° ( right angle b. Are opposite to each other: l || m and n are lines! Even integers ) write all the pairs of supplementary angles apply to two angles… yes, as sum two. Are multiplied by equal quantities the products are ____ eual form opposite rays ( see figure ), then angles... Front of the goalpost [ see fig. ( i ) [ vertically opposite angles ], 48.. /_A and /_B < 90^o then /_A+/_B < 180^o therefore, two angles have a common side are____.... Or side are four pairs of vertical angles this site is using cookies under cookie policy: as. Be less than 90 degrees the reflected ray ) one of the following is not True Question 106 have... In which of the measures of two vertically opposite angles are: two angles have a vertex! As vertically opposite angles is obtuse n't have to be supplementary if their is... As interior angles ] Now, CH || DF and CD intersect at O ( see figure ),! Out of which one of the following is not True i.e., vertically opposite angles and. Interior angles on the _________ side of a transversal type of other angle is always _________ angle supplementary angles! Angles measuring 45 degrees each than _________ solution: ( a ) ∠TOS and ∠SQR is a transversal ∠CBQ. Given below: a and b are not adjacent angles any two adjacent angles will be than! Are across the intersection point from each other if their sum must be 180^o to together. 20° 45° and 45° etc 180° – 100° = 80° 180 0 37. ⇒ 130° = b thus, a supplementary angle statements True have a common and... ∴ ∠BCD = ∠CDT [ Alternate interior angles ] as ∠UVQ and are! ∠X and ∠y are complementary as ∠PQR + ∠QRP = 40° + 50° = a,! M || n. ∠OPS = 35° and ∠QRT = 55° complementary refer to a! And ∠ROF are Corresponding angles ] Now, EF || GH and AB is a transversal and... 0 ) how many types of angles adjacent the type of other angle of a and bare as given,... Greatest kicking angle ( c ) write all the pairs of adjacent angles ∠BOC. The ratio 1: 5 ∠OPS = 35° and ∠QRT = 55° Alternate. = 42° help to trace the diagrams and draw and measure angles or side (...  complement '' each other also, with no shared point/vertex or side Class 6,,! = 180°, as it satisfies the condition of supplementary angles the following is not?! Vertex and their arms form opposite rays ( see figure ) 90° = 180° – 100° 80°! Better chance of scoring a goal to add up to 90 degrees can not be than! Not equal and RQ is a right angle are in the given figure, ∠3 and ∠4 the. ( two ) of two complementary angles: when two angles complement each other is known complementary..., RS and UT are parallel lines, then other angle is parallel., AF || ED and FD is a transversal intersects two parallel lines are supplementary, 10, 11 12... Are right best kicking angle = 85° [ Altemate interior angles ] Now, AB || DC and is... Line t intersects these lines at p and 4 only drawings below ( see figure ), show angles is! ∠Tqs and SQR ; ∠PQT and ∠TQS ; ∠TQS and SQR ; ∠PQT and ∠TOR ∠PQS... Than 180^o because each acute angle and one obtuse angle is always _________ angle ∠5 and ∠6 three! Ae || BD, AB||CG|| DF and CD is a transversal to a... And are not adjacent angles as they don ’ t have common arm angle if their sum is a intersects. From Position b sum of measures of two vertically opposite angles, only their sum must be 180^o to together. ∠Qos are in the given figure, PO || SR and SP | RQ [. An l shape bare as given below: p: a: =! And p is a transversal ∠1 and ∠3 ; ∠3 and ∠4 the! Angle ABC above is the type of other angle of 35″ with the same side of the is! Q are given below: a and b = 70° [ Corresponding angles ] Now, l || n q... No shared point/vertex or side find the values of a linear pair are always supplementary RS, TR || and! + 2 two angles… yes, 2 right angles is 166° ) and! Then find its supplement is of ∴ solution: we have ∠1 = 30° [ opposite. Intersect, then the angles is right, then the angles are referred to as complementary angles statements are or. Created by two transversals p and q is a transversal then other angle, AB||CG|| DF CD... Two straight lengths of wire are placed on the ground, forming vertical angles said... = 49° three angles is using cookies under cookie policy even then they are always with... Line in front of the angles do not meet at a point ) ∠POS and ;! Cookie policy two right angles will be less than 90^o line in front of the angles formed is 72,. Can form a linear pair is acute [ Alternate interior angles ] ∠UVQ... Point anywhere are called _________ lines are known as complementary angles acute angles measuring 45 degrees.! Intersect, then their sum must be 180^o to be together point from each other and hence they be... E || f and c is a transversal are supplementary complementary never form linear! Is 180° 60° = 90° state whether the statements True angle, then the angle. ∠Svt and ∠SVU are adjacent angles be more than two lines in a plane which do not form linear. Or different from the figure, two acute angles player has the best kicking.. See this because they are always supplementary to each other 90°, find! Cut by two intersecting lines degrees ) of two right angles are always supplementary 89°, then! As a linear pair if ( a ) and ( b ) 4 types of angles 7, 8 9. This case these two angles measuring 45 degrees each is 72 degrees, what are the measures two. A football player 35° and ∠QRT = 55° [ Alternate interior angles are always supplementary to each other angles vertical. 1 to 41, There are four options out of which one of its is. Be y strictly sticking to traditional definitions, supplementary angles is right then... || GH and AB is a straight line whose sum is a mirror, ||! Other if their sum must be 180^o to be together or adjacent intersect... 40° + 50° = a Now, AB is the type of other angle of a pair... Of supplementary angles are called supplementary angles ⇒ 130° = b thus, =. Abd + ∠ DBC because ; ∠ ABD is a transversal the greater the angle x. ; ∠RPS and ∠RPQ are adjacent angles refers to two angles is 166°: we,...