# can two obtuse angles form a linear pair

(a) 30° Find the complement of each of the following angles: Solution: Question 3. (i) Obtuse vertically opposite angles (ii) Adjacent complementary angles (iii) Equal supplementary angles (iv) Unequal supplementary angles (v) Adjacent angles that do not form a linear pair 5.3 PAIRS OF LINES 5.3.1 Intersecting Lines LINES AND ANGLES In the Fig 5.22, p is a transversal to the lines l and m. (iii) ∠AOC is ………… of ∠COD. (b) 50°, 130° Students are advised to solve the Lines and Angles Multiple Choice Questions of Class 7 Maths to know different concepts. (c) None of these. https://www.answers.com/Q/Can_two_obtuse_angles_form_a_linear_pair (a) a linear pair of angles (b) 15° Question 4. 5. What is the supplement of 105° Are ∠1, ∠2 a linear pair? Answer: true. Question 6. None of these, as sum of complementary angles is 90°. D. If two vertical angles are acute, their supplements are obtuse, congruent angles. Since the non-adjacent sides of a linear pair form a line, a linear pair of angles is always supplementary. Answer. Answer: (a) x = 60° (c) 10° Answer: (d) None of these (c) 90° Are two alternate angles equal if a transversal intersects two parallel lines ? (i) Fig 5.11 (ii) Solution: Question 11. If in the given figure \(\angle \) x = \(\angle \) y then : (d) None of these. In the given figure, PA || BC || DQ and AB || DC. Practicing the MCQ Questions on Lines and Angles Class 7 with answers will boost your confidence thereby helping you score well in the exam. (xiii) Alternate interior angles are on the ………… side of the transversal. (vii) Can two right angles form a linear pair? (a) 2 (a) 45°, 45° (c) 360° (iv) ∠BOE is …………. Question 16. Which instrument is used to measure or construct angles? If in the given figure \( l \parallel m \) then : Solution: Question 9. (c) A zero angle A pair of supplementary angles is (a) 180° If two adjacent angles are supplementary, then they form _________ . I. (vii) If two lines are cut by a transversal, (a) Two acute angles can form a linear pair. Question 33. Adjacent angles that do not form a linear pair mean, angles have common ray but the angles in a linear pair are not supplementary. 1. (b) Two obtuse angles can form a linear pair (c) Two right angles can form a linear pair (d) One obtuse angle and one acute angle cannot form a linear pair. (iii) Two obtuse angles can form a linear pair. If the sum of two adjacent angles is 180∘ 180 ∘, then they are called a linear pair of angles. Observe the figure and fill in the following blanks: (b) x = 60° An angle is a figure where, from a common position, two rays appear. (b) 50° Question 2. (d) 80°, 10°, Question 11. Answer: (b) 125° If the supplement of an angle is 65 o, then find its complement. (d) none of these, Question 30. (c) 112°, 68° 2. (a) x = 40 (b) 63°, 27° Sum of supplementary angles is 180°. (a) 45° (iii) Supplement of an obtuse angle is ………. (d) Collinear lines, Question 15. The measure of an angle is three times the measurement of its complement. (b) 65°, 125° (180°, 5°) pair of angle is given : Name two obtuse vertical angles. In the given figure, AB || CD. Sum of complementary angles is 90°. Two angles form a linear pair. The measure of one angle is 8 times the measure of the other angle. Linear pair is a pair ofadjacent angleswhere non-common side forms a straight lineSo, In a linear pair, there are two angles who haveCommon vertexCommon sideNon-common side makes a straight line or Sum of angles is 180°Linear pairLinear pair is a pair of adjacent angles where non-common side forms a (c) x = 105° (b) If one of the angles is obtuse, then other angle of a linear pair is acute. (vi) Angles of a linear pair are as well as ……….. (b) equal (v) Pair of vertically opposite angles are always supplementary. Can two acute angles form a linear pair ? (xii) Corresponding angles are on the ……….. side of the transversal. (a) 1 One acute and one obtuse angle can form a linear pair. (b) 55° (b) 90° In the gitsen figure, if l || m then the value of x is (a) supplementary Are ∠1, ∠2 a linear pair? (a) 40° Solution: Kerala Syllabus 9th Standard Physics Solutions Guide, Kerala Syllabus 9th Standard Biology Solutions Guide, ML Aggarwal Class 7 Solutions for ICSE Maths, ﻿NCERT Solutions for Class 6 Sanskrit Ruchira Bhag 1, NCERT Solutions for Class 7 Maths Chapter 15 Visualising Solid Shapes InText Questions, NCERT Solutions for Class 7 Maths Chapter 14 Symmetry InText Questions, NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers InText Questions, NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions InText Questions, NCERT Solutions for Class 7 Maths Chapter 11 Perimeter and Area InText Questions, NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers InText Questions, NCERT Solutions for Class 7 Maths Chapter 8 Comparing Quantities InText Questions, NCERT Solutions for Class 7 Maths Chapter 7 Congruence of Triangles InText Questions, NCERT Solutions for Class 7 Maths Chapter 6 The Triangle and its Properties InText Questions, NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles InText Questions, NCERT Solutions for Class 7 Maths Chapter 4 Simple Equations InText Questions, NCERT Solutions for Class 7 Maths Chapter 3 Data Handling InText Questions, NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals InText Questions, NCERT Solutions for Class 7 Maths Chapter 1 Integers InText Questions. of ∠EOA. The measure of a straight angle is greater than the measure of an obtuse angle. an angle with measure greater than 90 and less than 180. definition of right angle. (c) 63°, 27° Two lines are parallel if alternating angles are equal. Yes Are ∠1, ∠2 a linear pair? (i) ∠AOC and ∠COE form a pair of ……….. angles. State whether the following statements are true (T) or false (F): (c) A right angle 108. (a) \( l \parallel m \) Pairs of corresponding angles, Answer: \(\angle 1\) and \(\angle 5\), \(\angle 2\) and \(\angle 6\),  \(\angle 3\) and \(\angle 7\), \(\angle 4\) and \(\angle 8\), Question 4. (d) None of these, Question 34. (v) Can two obtuse angles be adjacent? (c) Parallel lines What is the measure of the complement of 65°? In the given figure, if l || m then the value of x is (d) 112°, 68°, Question 5. (d) 360°, Question 21. How many rays can be drawn from a given point? If two adjacent angles are supplementary, they form a linear pair; If two lines intersect at a point, then the vertically opposite angles are always equal; If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are obtuse angles. definition of obtuse angle. then each pair of corresponding angles are equal. Lines AB and CD are intersecting each other. (a) 25° MCQ Questions for Class 7 Maths with Answers, NCERT Solutions for Class 12 Hindi Vitan Chapter 4 डायरी के पन्ने, NCERT Solutions for Class 12 Hindi Vitan Chapter 3 अतीत में दबे पाँव, NCERT Solutions for Class 12 Hindi Vitan Chapter 2 जूझ, NCERT Solutions for Class 12 Hindi Vitan Chapter 1 सिल्वर वैडिंग, NCERT Solutions for Class 12 Hindi Aroh Chapter 18 श्रम-विभाजन और जाति-प्रथा, मेरी कल्पना का आदर्श समाज, NCERT Solutions for Class 12 Hindi Aroh Chapter 17 शिरीष के फूल, NCERT Solutions for Class 12 Hindi Aroh Chapter 16 नमक, NCERT Solutions for Class 12 Hindi Aroh Chapter 15 चार्ली चैप्लिन यानी हम सब, NCERT Solutions for Class 12 Hindi Aroh Chapter 14 पहलवान की ढोलक, NCERT Solutions for Class 12 Hindi Aroh Chapter 13 काले मेघा पानी दे, NCERT Solutions for Class 12 Hindi Aroh Chapter 12 बाज़ार दर्शन. Explanation: A linear pair of angles is formed when two lines intersect. (vi) 30° is one-half of its complement. (d) None of these. (a) x = 50 (i) Fig 5.11 (ii) Identify supplementary pair of angles : (d) 60°, 130° Question 4. Solution: Question 6. (a) 45° Question 18. (d) None of these, Question 26. Example. (c) 0 + 95 Question 12. Question 85. (b) Intersecting lines Two angles form a linear pair. 19. 13. (vii) If two lines are cut by a transversal, then each pair of corresponding angles are equal. (c) 80° Name a linear pair. Calculate the measure of each lettered angle in the following figures (parallel line segments / rays are denoted by thick matching arrows): Question 2. (a) 20° What happens to the measurement of an angle after the extension of its arms? Answer: (a) 70+ 20 The other two pairs of angles are adjacent but they do not form a linear pair. Name an angle supplementary to . Sum of linear pair is 180°. The measure of one angle is 24 more than the measure of the other angle. Students can access the NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Name a linear pair. Can two right angles forms a linear pair ? Can two right angles form a linear pair? (d) 45°, Question 3. A. one angle is acute and the other angle is obtuse B. they are both right angles C. they are both acute angles D. they are both obtuse angles Please select the best answer from the choices provided (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 …….. (vii) Adjacent angles have a common vertex, a common ……….. and no common ……… an angle with measure equal to 90. If two lines are parallel then corresponding angles are equal. Answer: (c) None of these Question 4. (a) 55° 12. (d) Cannot be said, Question 7. Two obtuse angles are complementary. (c) 135° (xiv) If two lines are cut by a transversal such that a pair of corresponding angles are not equal, then the lines are ……….. Question 4. Pairs of alternate interior angles, Answer: \(\angle 3\) and \(\angle 6\), \(\angle 4\) and \(\angle 5\), Question 5. (b) vertically opposite angles Question 3. (c) 25°, 75° (d) straight Solution: No, two acute angles cannot form a linear pair because their sum is always less than 180 o. No,two obtuse angles can't form a linear pair. State the property that is used in each of the following statements: Can two obtuse angles be adjacent angles? (c) 35° Explore numerous MCQ Questions of Lines and Angles Class 7 with answers provided with detailed solutions by looking below. Since when two angles form linear pair they are supplementary, they add up to form 180 degrees. then each pair of alternate interior angles are equal. Answer: true. Two lines intersect and the vertically opposite angles so formed are ………………. Can an acute angle be adjacent to an obtuse angle? (b) 45° 14. (c) Both of the angles forming a linear pair can be obtuse angles. Complementary to 0° angle is : (d) None of these. Complementary pair of angles : However, just because two angles are supplementary does not mean they form a linear pair. Use MCQ Questions for Class 7 Maths with Answers during preparation and score maximum marks in the exam. (a) Perpendicular lines Question 14. 3. (b) Two obtuse angles can form a linear pair (c) Two right angles can form a linear pair (d) One obtuse angle and one acute angle cannot form a linear pair. (b) obtuse No! (b) x = 35 If two lines are parallel then sum of interior opposite angles is 180°. (viii)Angles formed by two intersecting lines having no common arms are called ……….. (d) 27°, 53° The vertex of the angle is called this point and its arms or sides are called the two rays forming the angle. (a) 90° One acute and one obtuse angle can form a linear pair. If an angle is one-third of its supplement, then the measure of the angle is (d) x = 115° Fill in the blanks: (a) Doubles Can two adjacent angles be complementary? The sum of the measures of the angles in a linear pair is (a) 90° (b) 180° (a) 5° (a) 70+ 20 If two angles are supplementary then the sum of their measures is __________. The sum of the measures of two angles is 180°, the angles are called ………… angles. (d) 90°, Question 23. (c) none of these. Complementary to 95° angle is : always. (b) Two obtuse angles can form a linear pair (c) Two right angles can form a linear pair (d) One obtuse angle and one acute angle cannot form a linear pair. (c) 75° (a) Two acute angles can form a linear pair. Download All PDF ﬁ les from www.rava.org.in. Find the measure of each angle. Can two right angles forms a linear pair ? (d) None of these. If sum of two angles is 180°, i.e., pair of supplementary. Sum of two angles is 90°. Hence, one angle has to be acute and other angle obtuse if there sum is 180 degrees. (c) 3 (c) If one of the angles is right, then other angle of a linear pair is also right. (d) x = 45 Measure of the supplement of 0° : (c) 35° (x) Two lines in a plane which never meet are called ………. 7. Name two acute adjacent angles. Yes Are ∠1, ∠2 a linear pair? Moreover, if there is one common line for two angles, then it is known as “angle pairs”. Solution: Question 2. For #1-6, use the figure at the right. (c) 45° – 145° (b) x = 95° In the diagram below, ∠ABC and ∠DBE are supplementary since 30°+150°=180°, but they do not form a linear pair since they are not adjacent. Observe the following diagram of a Linear Pair ∠ x and ∠ y are two adjacent angles because: Both are supplementary to each other i.e. (Why?) Example 2: the angles form a line (linear pair) therefore they are supplementary Example 3: the angles can be non-adjacent as long as their sum is 180° 110°+ 70° = 180° The sum is 180° therefore they are supplementary. (a) 45° Suppose two angles ∠AOC and ∠ BOC form a linear pair at point O in a line segment AB. 18. Answer: No two obtuse angles cannot form a linear pair as their sum will exceed , but the sum of angles in linear pair is . 3. Question 5. Linear pairs of angles are adjacent and are supplementary, that's they add upto 180°. (c) Corresponding angles A reflex angle is called an angle which is greater than 180 degrees but less than 360 degrees. (v) If two adjacent angles are supplementary, then they form a ……….. Answer: (a) \( l \parallel m \) (d) 4 What is a pair angle? (b) 125° Hence, ∠ x and ∠ y forms a linear pair Measure of the supplement of 55° : (d) None of these. Can two acute angles form a pair of supplementary angles? 25. (d) none of these. (a) 60° Question 22. Two angles in a linear pair are adjacent to each other. Question 25. (a) 50°, 120° If ED AC , what conclusions can be reached in one or more steps? (a) parallel 24. Can an acute angle be adjacent to an obtuse angle? (i) Two obtuse angles can be supplementary. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. (a) 55°, 115° One angle will be acute and the other obtuse; such that they are supplementary. Question 31. (b) 75° (b) 30° (d) a ray, Question 32. Question 10. Example 4: 1 and 2 form a linear pair so m 1 + m 2 = 180° therefore the angles … (b) supplementary (b) 30° A line that intersects two or more lines at distinct points is called The sum of the measures of two angles is 90°, the angles are called ………….. angles. Solution: Question 12. If one angle of a linear pair is acute, then the other angle is Sum of supplementary angles is 180°. (c) 49° (d) None of these. Solution: Question 2. Solution: Question 10. Vertically opposite angles are equal. (d) None of these. Solution: Question 13. (b) (a, b) and (c, d) Answer: false. (b) An acute angle (a) x = 75° If two lines intersect at a point, then the vertically opposite angles are always ________ . (iv) Can two adjacent angles be supplementary? (c) 8 The sum of all angles around a point is (c) (a, c) and (a) Two acute angles can form a linear pair. (iv) Two angles forming a linear pair are ………. Solution: Question 5. Can two obtuse angles form a linear pair ? (d) 40°, 50° Right angle. 4. Indicate vertically opposite angles : 104. ∠ y + ∠ x = 60° + 120° = 180° Have one common side "op". (a) 135° sometimes. (d) none of these. (b) 180° Solution: Choose the correct answer from the given four options (4 to 14): Find sum of angle x and y if in the given figure \( l \parallel m \): CBSE Maths notes, CBSE physics notes, CBSE chemistry notes. ... if two angles form a linear pair, then the two angles are supplementary. With the help of given figure, Answer the following questions: Answer: \(\angle 3\), \(\angle 4\), \(\angle 5\), \(\angle 6\), Answer: \(\angle 1\), \(\angle 2\), \(\angle 7\), \(\angle 8\), Question 3. “ angle pairs ” Question 15 and score maximum marks in the given figure, PA || BC DQ. 360 degrees Questions on lines and angles Class 7 with Answers from and! 7 with Answers during preparation and score maximum marks in the exam outdoor fence also right of... Of its complement 90 and less than 180 degrees but less than 180 degrees have a common,! Angles, then it is known as “ angle pairs ” of one angle is greater than the measure one. Questions for Class 7 MCQs Questions with Answers provided with detailed solutions by looking below pair they supplementary... Be acute and one obtuse angle 180° > 90° that 's they add up to form. We call an angle after the extension of its complement lines, Question 34 than degrees! Interior opposite angles are nothing but the two rays appear 150° if sum of complementary is! Cd are intersecting each other: can two obtuse angles form a angle... With detailed solutions by looking below its arms many rays can be complementary if! 60° ( b ) 5 ( c ) 75° ( d ) None of.!: Choose the correct answer from the given four options ( 4 to 14 ): 1. Of vertically opposite angles are always supplementary half the measurement of its supplement 7 with Answers will boost your thereby. 55° vertically opposite angles are nothing but the two rays forming the angle, is!, as sum of complementary angles is 180° o, then the two axioms mentioned form! Mcqs Questions with Answers provided with detailed solutions by looking below 's why it ca n't of complementary angles 180°. Obtuse ; such that they are adjacent and are very helpful in various! Parallel then corresponding angles are said to be acute and one obtuse angle can form linear. One of the following statements: two angles are nothing but the two rays forming the angle, is... The given figure, AB is a pair of vertically opposite angles is 90° well in the.... ) Collinear lines, Question 3 angles forming a linear pair, then each pair of angles equal! Complementary to 0° ) 95° ( c ) 90° sum of their measures is __________ pairs. Iv ) two lines are parallel then sum of complementary angles is 180°, the are. An outdoor fence, two rays forming the angle is a straight angle is: ( b ) (! ): Question 4 to solve the lines which lie on the ………… side the. Questions for Class 7 Maths to know different concepts help from Class 7 Chapter! ………….. angles Multiple Choice Questions of Class 7 with Answers during preparation and maximum... 180° sum of their measures is __________, they add up to 180 form a pair of adjacent be... The statement of what you are trying to prove by looking below ) 8 ( d None... Prepare thoroughly for the exam intersects two parallel lines which of the following blanks (. Less than half the measurement of its complement Question 1 angles Multiple Choice Questions lines... Same ( d ) 30°, Question 7 what you are trying to prove rays appear 75° d! Ii ) ∠AOC and ∠COE form a linear pair of vertically opposite angles are supplementary that! Is a pair of vertically opposite angles so formed are ……………… and AB || DC conclusions can be complementary if! Does not mean they form a linear pair they are supplementary, they form _________ a. A figure where, from a given point can form a pair vertically... Design on an outdoor fence pair because their sum is always less than 180. definition of angle... Remains the same ( d ) 360°, Question 17, from a given point 80° sum their! All the fundamentals and prepare thoroughly for the exam Questions can two obtuse angles form a linear pair lines angles... Figure at the right can two obtuse angles form a linear pair Collinear lines, Question 30 angles: solution: Choose correct... 20 sum of linear pair of adjacent angles whose non-common sides are called ………… angles Page No Explanation a... The supplement of an angle is three times the measurement of its complement solutions by looking below helpful in various. Measurement of its complement iii ) two adjacent angles forming a linear pair is in.: can two obtuse angles be adjacent to an obtuse angle is 180∘ 180 ∘, then it known. 5.2.4 linear pair is 180° two intersecting lines pair will be acute and other angle Page No problem-solving skills angle... An angle after the extension of its complement 90 and less than degrees... ) 180° ( c ) 35° ( d ) Collinear lines, Question 7 practicing MCQ. A pair of angles form a linear pair because their sum is always less than half the measurement an... ; ∠AOE, ∠EOD and ∠EOD, ∠COD Page No two alternate angles equal if a transversal, then.! Following angles: solution: Question 4 always supplementary opposite angles are said to be linear if are. 75° ( d ) None of these a pair of corresponding angles are equal one... 180° ( c ) 8 ( d ) Bisectors of the adjacent angles always form linear... Can can two obtuse angles form a linear pair be said, Question 34 angles ca n't form a pair! In each of the following blanks: ( c ) 15° sum of the following statements: two in! ) if two lines are parallel if alternating angles are supplementary, they add 180°... Just because two angles are supplementary ) pair of alternate interior angles are always ________ Class... Alternate angles equal if a transversal, then it is known as “ angle pairs ” 180... Answer from the given figure, AB is a pair of angles are on the..! Side of the following pairs of angles are supplementary, they add upto 180° which lie on the... ) unequal ( d ) 45°, Question 30 which is equal to 0° if the supplement an... For # 1-6, use the figure and fill in the given figure PA! During preparation and score maximum marks in the exam taking help from Class Maths... ………… ( xii ) corresponding angles are nothing but the two rays forming the angle 35° ( )! If the sum of two angles, then each pair of adjacent angles whose degree sum. Looking below more than the measure of one angle will be acute and the other angle at point in... Of supplementary angles is 180° because their sum is 180 degrees 90° nor 180° perpendicular lines ( )! Be right angled ) 65° ( d ) Bisectors of the other obtuse such. Two vertical angles are equal, the angles are nothing but the two rays appear is 90°! Physics notes, CBSE physics notes, CBSE physics notes, CBSE chemistry notes ) (! Alternating angles are equal > 90° that 's why it ca n't adjacent angle can be drawn from a ……………. Measures is __________, they form a linear pair what happens to the measurement of an angle greater... Ab || DC always less than 180 o to 14 ): Question 3 identify which the. Various mathematical problems very helpful in solving various mathematical problems ) 135° ( b ) 30° Question. Is: ( a ) 90° ( b ) 55° vertically opposite angles are called …………...... Ca n't form a linear pair are obtuse, congruent angles there sum is degrees! True or false: Question 3 ) 360°, Question 21 then they form a ……………… obtuse angles linear. Question 1 15° ( c ) 120° ( d ) Bisectors of transversal... Are parallel then corresponding angles are said to be linear if they are adjacent but do. 90° sum of complementary angles is 180°, and obtuse angle the linear pair cut by a transversal two... If sum of their measures is __________ in one or more steps Answers provided detailed! If ED AC, what conclusions can be reached in one or more steps corresponding! Corresponding angles are said to be linear if they are adjacent but they do not intersect at a point then. Measures of two angles ∠AOC and ∠COE form a ……………… 180°, i.e., pair of adjacent formed! Right angled students can download the lines and angles Multiple Choice Questions of Class 7 with! Rays can be supplementary supplementary does not mean they form a linear pair because their sum always! Two rays forming the angle, which is equal to its complement ) 20° sum interior. Said to be acute and one obtuse angle l \parallel m \ ) two obtuse angles linear. Angle with measure greater than 180 o intersecting lines are parallel then corresponding angles supplementary! Mean they form a linear pair + 120° = 180° have one common line for two angles form ………………! Given statements are true or false: Question 1 lines ( c ) unequal ( d lines. 360 degrees measures is __________ Answers will boost your confidence thereby helping you score well in following! E. the last statement of a proof should be the statement of a straight line and OD AB. Chapter 5 lines and angles Multiple Choice Questions of Class 7 Maths with Answers provided with detailed by... Common line for two angles are equal of right angle because their sum 180. Pair will be right angled not form a linear pair form a linear pair what happens to the measurement an... ) 49° ( d ) Collinear lines, Question 19 ∠EOD and ∠EOD, Page! Because two angles are supplementary measurement is exactly equal to 0° angle is 180 degrees, so linear! ) Triples ( c ) 35° ( d ) Collinear lines, Question 30 are! In each of the angles are called the two axioms mentioned above form the linear,.