masalkardata ... .Supplementary pairs can either be made up of two right angles, or one acute and one obtuse angle. false. Upvote (33) Was this answer helpful? (d) x = 25 If ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is (a) 30° (b) 50° (c) 80° (d) 130° Solution: In the given figure, AB || CD, ∠APQ = 50° ∠PRD = 130°, ∠QPR = ? Question 1. Complementary angles must be acute. Get Instant Solutions, 24x7. If one angle of a linear pair is acute, then the other angle is (a) acute (b) obtuse (c) right (d) straight Solution: If one angle of a linear pair is acute, then the other angle will be obtuse. ∠B = 63°. In the given figure, AB is a straight line and OD ⊥ AB. ML Aggarwal Class 7 Solutions Chapter 10 Lines and Angles Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams. (vii) Adjacent angles have a common vertex, a common ……….. and no common ……… (ii) ∠AOC and ∠COB are supplementary angles. (iv) Two adjacent angles always form a linear pair. If an angle is one-third of its supplement, then the measure of the angle is Click hereto get an answer to your question ️ \"State whether the following statements are true or false.\na. (a) 40° A ray has a finite length. 2.the supplement of an obtuse angle is always acute. (ii) If two angles are supplementary, then the sum of their measures is 180°. (a) 30° (i) Two obtuse angles can be supplementary. true or false 1.vertically opposite angles are always supplementary. (d) x = 115° True. If you add two acute angles in which each angle is large as possible, its sum will be less than 180°. Then the values of x and y are respectively: (a) 50°, 120° (b) 50°, 130° (c) 60°, 120° (d) 60°, 130° Solution: In the given figure, PA || BC || DQ AB || DC x = 50° (Alternate angles) ∠BCD + ∠ABC = 180° (Sum of co-interior angles) ⇒ ∠DCB + 50° = 180° ⇒ ∠DCB = 180° – 50° = 130° BC || DQ ∠DCB = ∠CDQ (Alternate angles) y = 130° x = 50°, y = 130° (b), Question 1. False. Two right angles can be supplementary Get the answers you need, now! (xi) Alternate interior angles have one common ………… As the sum of supplementary angles is 180°. Students can also refer to NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles for better exam preparation and score more marks. (iii) Two obtuse angles can form a linear pair. Is It True Or False? (ii) Two acute angles can form a linear pair. (b), Question 11. Answer (i) No, because sum of two acute angles is less than 1 8 0 o. False. New questions in Math . False As two acute angles can make a pair of complementary angles. (a) 50°, 120° If lines are parallel than the corresponding angle are the same and if lines are not parallel than angles are different. (False) Correct: As the sum of two acute angles is less than 180°. Question 61. truth or false. A Measure of Acute Angle = 360° – a Measure of Reflex Angle. True or False? A pair of complementary angles is (vi) Angles of a linear pair are adjacent as well as supplementary. If one angle of a linear pair is acute, then the other angle is If an angle measures 10° more than its complement, then the measure of the angle is (a) 40° (b) 55° (c) 35° (d) 50° Solution: If one angle measures 10° more than its complement, then measure of the angle = 50°. (xiv) If two lines are cut by a transversal such that a pair of corresponding angles are not equal, then the lines are ……….. 100. The Acute Angles Of Any Right Triangle Are Supplementary. (ii) ∠AOC and ∠COB are ……….. angles. (∵ Linear pair = 180°) (b), Question 9. When the sum of the measures of two angles is 90°, the angles are called (ix) If two lines intersect and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are …….. A pair of complementary angles is (a) 130°, 50° (b) 35°, 55° (c) 25°, 75° (d) 27°, 53° Solution: A pair of complementary angles is 35°, 55°. Spell. 1. (d) 27°, 53° (b) 65°, 125° Fill in the blanks: (ii) Two acute angles can form a linear pair. (True) (30° and 60° are complement and 30° = \(\frac { 1 }{ 2 }\) × 60°) (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. (c) x = 105° 3.adjacent supplementary angles form a linear pair. If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of transversal is (b) obtuse 162 o Obtuse. (viii) Angles formed by two intersecting lines having no common arms are called vertically opposite angles. (ii) No, because sum of two obtuse angles is more than 1 8 0 o, (iii) Yes, because sum of two right angles is 1 8 0 o. (c) 35° In the given figure, if l || m then the value of x is (a) 45° 5.if a transversal intersects two lines and the corresponding angles are equal,then the two lines are parallel. Complementary Angle. By definition, supplementary angles add up to 180° therefore they are linear pairs, if they are adjacent. of ∠EOA. Answer verified by Toppr . (vi) Angles of a linear pair are as well as ……….. Click here to get an answer to your question ️ True or false. (d) straight If two angles are supplementary, they form a linear pair. Solution: Question 10. , A pair of vertical angles can be complementary. (∵ 50° + 40° = 90°), Question 8. If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of transversal is (a) 1 (b) 2 (c) 3 (d) 4 Solution: Two lines are intersected by a transversal then a number of pairs of interior angles on the same side of the transversal is two. then each pair of corresponding angles are equal. Angles are usually illustrated as two acute and two obtuse, but there can be two right, one acute and one obtuse. Can You Find The Measures Of The Angles. Solution: True Since, 90° + 90° = 180°, a supplementary angle. (a) x = 75° Solution: Question 11. (viii) If two lines are cut by a transversal, then each pair of alternate interior angles are equal. (a) 1 The measure of the complement of the angle 46° is (a) 90° (b) 46° (c) 16° … A pair of supplementary angles is (a) 55°, 115° (b) 65°, 125° (b) 47°, 133° (d) 40°, 50° Solution: A pair of supplementary angles is 47°, 133°. Question 3. (b) x = 95° 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. But in this case, the two ACUTE angles don't add up to 180°. In the given figure, AB is a straight line and OD ⊥ AB. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. (iii) ∠AOC is ………… of ∠COD. (vi) 30° is one-half of its complement. (vii) Adjacent angles have a common vertex, a common arm, and no common interior points. (xiv) If two lines are cut by a transversal such that a pair of corresponding angles are not equal, then the lines are ……….. The interior angles of a triangle add up to 180 degrees. Verticle angles never have equal measure. (vi) 30° is one-half of its complement. have a point in common). Observe the figure and fill in the following blanks: (i) ∠AOC and ∠COE form a pair of ……….. angles. Observe the figure and fill in the following blanks: Your email address will not be published. Lines and Angles Class 7 MCQs Questions with Answers. true or false: if two lines are perpendicular they do not intersect. Medium. In the given figure, AB || CD. A pair of acute angles can be supplementary. Acute angles are those which are less than 90°. Solution: (i) Two obtuse angles can be supplementary. (b) 35°, 55° State whether the following statements are true (T) or false (F): (i) Two obtuse angles can be supplementary. True. (iv) Two adjacent angles always form a linear pair. (c) right They cannot be supplementary. (x) Two lines in a plane which never meet are called parallel lines. Angles cannot be parallel since that is a characteristic of lines, not angles! FALSE. Solution: Question 12. (b), Question 5. (v) Pair of vertically opposite angles are always supplementary. True or False? How determine whether the conjecture is true or false. find a quadratic polynomial whose zeroes are √7 and -√7 Q11. Then, ∠A + ∠B = 25° + 63° = 88°. Two right angles are always supplementary to each other. If false, explain why. of ∠EOA. Solution: Question 3. Math 8 Practice 6.1 Classify angles. Calculate the measure of each lettered angle in the following figures (parallel line segments / rays are denoted by thick matching arrows): State whether the following statements are true (T) or false (F): (i) Two obtuse angles can be supplementary. (d) 40°, 50° false. two lines can intersect in more than one point. (iii) Supplement of an obtuse angle is an acute angle. By definition, supplementary angles add up to 180° therefore they are linear pairs, if they are adjacent. As the sum of complementary angles is 90°. In the given figure, AB || CD. (b) 50° Books; Test Prep; Summer Camps; Office Hours; Earn Money ; Log in ; Join for Free. In the given figure, PA || BC || DQ and AB || DC. Flashcards. Answer: (a) 5. AB || CD ∠APQ = ∠PQR (Alternate angles) ∠PQR = 50° ∠PRD + ∠PRQ = 180° (Linear pair) 130° + ∠PRQ = 180° ∠PRQ = 180° – 130° = 50° Now in ∆PQR ∠PQR + ∠PRQ + ∠QPR = 180° (Angles of a triangle) 50° + 50° + ∠QPR = 180° ∠QPR = 180° – 50° – 50° = 80° (c), Question 14. Two angles /_A are vertical (formed by two intersecting lines) and acute (smaller than 90^o). Vertical angles must have the same measure. (vi) 30° is one-half of its complement. (d) 60°, 130° Click here to get an answer to your question ️ True or False can two obtuse angles can be supplementary Nakaya102 Nakaya102 01/20/2015 Mathematics Middle School True or False can two obtuse angles can be supplementary 1 See answer Nakaya102 is waiting for your help. Solution: Question 13. (False) Correct: As the sum of two obtuse angles is greater than 180°. (a) 130°, 50° Space is limited so join now!View Summer Courses. (iii) Two obtuse angles can form a linear pair. (xiv) If two lines are cut by a transversal such that a pair of corresponding angles are not equal, then the lines are not parallel. Calculate the measure of each lettered angle in the following figures (parallel line segments / rays are denoted by thick matching arrows): Solution: (i) In the given figure, Given ∠s are 72° and 55° a = 55° (Corresponsing angles) c = 72° (Alternate angles) But b + c + 55° = 180° (Angles on the one side of a straight line) ⇒ b + 72° + 55° = 180° ⇒ b + 127° = 180° ⇒ b = 180° – 127° = 53° a = 55, b = 53°, c = 72° (ii) In the given figure, Given ∠s are 135° and 110° p = 135° (Alternate angles) p + r + 110° = 360° (Angles at a point) ⇒ 135° + 110° + r = 360° ⇒ 245° + r = 360° ⇒ r = 360° – 245° = 115° But r + q = 180° (Co-interior angles) ⇒ 115° + q = 180° ⇒ q = 180° – 115° = 65° p = 135°, q = 65°, r = 115° (iii) In the given figure, Given angle is 110° p = ∠1 (Vertically opposite angles) But ∠1 + 110° = 180° (Co-interior angles) ⇒ ∠1 = 180° – 110° = 70° ⇒ p = ∠1 = 70° s = 110° (Alternate angles with 110°) p = q (Corresponding angles) q = 70° r = q (Alternate angles) r = 70° Now, p = 70°, q = 70°, r = 70°, s = 110°, ICSE Previous Year Question Papers Class 10, ML Aggarwal Class 7 Solutions for ICSE Maths, Concise Mathematics Class 10 ICSE Solutions, Concise Chemistry Class 10 ICSE Solutions, Concise Mathematics Class 9 ICSE Solutions, Thank You Letter for Job Interview, Friend, Boss, Support | Appreciation and Format of Thank You Letter, How To Write a Cover Letter | Format, Sample and Important Guidelines of Cover letter, How to Address a Letter | Format and Sample of Addressing a Letter, Essay Topics for High School Students | Topics and Ideas of Essay for High School Students, Model Essay for UPSC | Tips and List of Essay Topics for UPSC Exam, Essay Books for UPSC | Some Popular Books for UPSC Exam, Sample Essay for UPSC | How to Prepare and Important Essay Topics for UPSC Exam, IAS Essay Topics | Important List of IAS Essay Topics for Students and Children in English, CAPF Essay Topics | Important Topics of CAPF Essay for Students and Children in English, Value of Games Essay | Essay on Value of Games for Students and Children in English, Bullying in Schools Essay | Essay on Bullying in Schools for Students and Children in English. (v) If two adjacent angles are supplementary, then they form a linear pair. Algebra -> Angles-> SOLUTION: - Find one counterexample to show that each conjecture is false.1. (c) 3 (ii) If two angles are supplementary, then the sum of their measures is ………… Two Angles Are Complementary. Two lines will meet in one point only when they are parallel. (xi) Alternate interior angles have one common ………… (xii) Corresponding angles are on the ……….. side of the transversal. A pair of vertical angles can be complementary. Solution: Question 9. In the given figure, the value of x that will make AOB a straight line is (a) x = 40 (b) x = 35 (c) x = 30 (d) x = 25 Solution: AOB will be a straight line if 3x + 15 + 2x – 10° = 180° ⇒ 5x + 5 = 180° ⇒ 5x = 180° – 5 = 175° ⇒ x = 35° (b), Question 10. Now, we know supplementary angles are the angles that add up to 180°. (False) Correct : If the two lines are parallel, then it is possible. True - 45 and 45 degrees. State whether the following statements are true (T) or false (F): (c) x = 30 In the given figure, if l || m then the value of x is (a) x = 50 (b) x = 60 (c) x = 70 (d) x = 45 Solution: In the given figure, l || m 110° = 3x – 40° ⇒ 3x = 110° + 40° = 150° x = 50° (a), Question 12. (c) 25°, 75° True only if the two angles are adjacent (i.e. find the measure of a supplement of /_2. True. true or false: a triangle can have 2 right angles. In the given figure, PA || BC || DQ and AB || DC. Two acute angles can be vertical, adjacent, complementary. then each pair of alternate interior angles are equal. In an isosceles right triangle the 2 acute angles are supplementary False- complementary The shortest distance between a point and a line is measured along a perpendicular (xii) Corresponding angles are the same side of the transversal. (c), Question 6. Supplementary angles must be acute. (False) Correct: It may or may not be equal. By definition, acute angles are the angles that measure the angle greater than 0° and less than 90°. (a) Two acute angles can be complementary to each other (b) Two obtuse angles can be complementary to each other (c) Two right angles can be complementary to each other (d) One obtuse angle and one acute angle can be complementary to each other. Solution: Choose the correct answer from the given four options (4 to 14): True or False? (xiii) Alternate interior angles are on the ………… side of the transversal. (vi) 30° is one-half of its complement. Solution: Question 7. Two acute angles can be supplementary.\nb. Solution: Question 8. true or false: Q is the vertex of solution: choose the Correct answer from the given figure, ||. Corresponding angles are always supplementary Summer camps xii ) corresponding angles are the that. 1 & 2 are supplementary than angles are supplementary ( xiii ) interior. 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