Find the value of x in each figure. true or false: if two lines are perpendicular they do not intersect. (iii) Two obtuse angles can form a linear pair. (a) 40° Supplementary angles and complementary angles are defined with respect to the addition of two angles. of ∠EOA. (d) 40°, 50° if an angle and two sides of one triangle are congruent to an angle and two sides of another triangle, then the triangles are congruent. two angels complementary to the same angle are congruent … Upvote (33) Was this answer helpful? Two acute angles can be supplementary.\nb. Vertical angles must have the same measure. State whether the following statements are true (T) or false (F): Math 8 Practice 6.1 Classify angles. Get Instant Solutions, 24x7. False. Match. truth or false. (c) right (ii) Two acute angles can form a linear pair. Question 1. Flashcards. Solution: Question 1. (xiii) Alternate interior angles are on the ………… side of the transversal. (d) 60°, 130° Test. (a) 50°, 120° Solution: Question 3. (xii) Corresponding angles are on the ……….. side of the transversal. 5.if a transversal intersects two lines and the corresponding angles are equal,then the two lines are parallel. Can two angles be supplementary if both of them are: (i) acute (ii) obtuse (iii) right? True or False? If an answer is false, explain why.Two acute angles cannot be supplementary.. Angles /_1 and /_2 are adjacent (share one side) and acute. (v) Pair of vertically opposite angles are always supplementary. Question 2. Add your answer and earn points. (False) Correct : If the two lines are parallel, then it is possible. Two lines will meet in one point only when they are parallel. Enroll in one of our FREE online STEM summer camps. Fill in the blanks: (i) If two angles are complementary, then the sum of their measures is ……….. (ii) If two angles are supplementary, then the sum of their measures is ………… (iii) Supplement of an obtuse angle is ………. (b) x = 95° In the given figure, PA || BC || DQ and AB || DC. true or false: a triangle can have 2 right angles. false, only one right angle. 3. two lines can intersect in more than one point. Otherwise false. Then the values of x and y are respectively: false, W is the vertex . Solution: (i) If two angles are complementary, then the sum of their measures is 90°. Medium. (c) 80° If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal. (iv) Two adjacent angles always form a linear pair. Solution: Question 6. (d) x = 25 Space is limited so join now!View Summer Courses. (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. (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 …….. Otherwise, these angles are different. (d) 50° (iii) ∠AOC is ………… of ∠COD. (iii) Two obtuse angles can form a linear pair. By definition, acute angles are the angles that measure the angle greater than 0° and less than 90°. (vi) 30° is one-half of its complement. (a) x = 75° Two acute angles can be supplementary. Solution: Question 13. (i) If two angles are complementary, then the sum of their measures is ……….. (b) 65°, 125° If false give a counterexample. No, two acute angles cannot form a supplementary angle. (b) 2 (b) 47°, 133° (a) 30° Then, ∠A + ∠B = 25° + 63° = 88°. 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. In the given figure, PA || BC || DQ and AB || DC. Question 1. (False) (vi) 30° is one-half of its complement. Fill in the blanks: Solution: Your email address will not be published. True. (iv) Two angles forming a linear pair are ………. (vi) 30° is one-half of its complement. answr. (a) 130°, 50° Angle Types. Not true because supplementary angles add up to 180 degrees and two acute angles would be less than 180 degrees. (iv) Two adjacent angles always form a linear pair. True or False? If two angles add up to measure 90° then they are known as complementary angles. (iv) ∠BOE is a supplement of ∠EOA. RD Sharma Solutions , RS Aggarwal Solutions and NCERT Solutions, July 18, 2020 by Prasanna Leave a Comment. sophiasolan. In the given figure, AB is a straight line and OD ⊥ AB. (c), Question 6. (a) x = 40 (c) x = 30 A pair of acute angles can be supplementary. Solution: Choose the correct answer from the given four options (4 to 14): Question 1. Angles are usually illustrated as two acute and two obtuse, but there can be two right, one acute and one obtuse. PLAY. Solution: Question 5. masalkardata ... .Supplementary pairs can either be made up of two right angles, or one acute and one obtuse angle. FALSE. (v) Pair of vertically opposite angles are always supplementary. Both angles of a pair of supplementary angles can never be acute. 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. The Acute Angles Of Any Right Triangle Are Supplementary. find a quadratic polynomial whose zeroes are √7 and -√7 Q11. 162 o Obtuse. Acute angles are those which are less than 90°. If one angle of a linear pair is acute, then the other angle is Problem 63 Determine whether each statement is true or false… 00:29 Get Free Access To All Videos. (c) x = 105° 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. (iii) ∠AOC is the complement of ∠COD. Two right angles can be supplementary Get the answers you need, now! (v) Pair of vertically opposite angles are always supplementary. false. find the measure of a supplement of /_2. 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: True Since, 90° + 90° = 180°, a supplementary angle. (∵ 50° + 40° = 90°), Question 8. (v) If two adjacent angles are supplementary, then they form a linear pair. have a point in common). In the gitsen figure, if l || m then the value of x is True only if the two angles are adjacent (i.e. (ii) ∠AOC and ∠COB are supplementary angles. True. 1. Solution: (i) Two obtuse angles can be supplementary. A Measure of Acute Angle = 360° – a Measure of Reflex Angle. (b) obtuse The angles don't have to be adjacent to each other to be known as complementary. have a point in common). Two right angles are always supplementary to each other. (d) 27°, 53° 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 = ? (d) 130° (ii) ∠AOC and ∠COB are ……….. 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. , Two acute angles can be supplementary. Answer to Answer true or false. (iv) Two angles forming a linear pair are ………. of ∠EOA. KEV Block: Name Date: Write if angles are complementary, supplementary, or adjacent. If two angles are acute, then they are supplementary. 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°. In the given figure, AB is a straight line and OD ⊥ AB. Solution: Question 9. (v) If two adjacent angles are supplementary, then they form a ……….. (viii) If two lines are cut by a transversal, then each pair of alternate interior angles are equal. Observe the figure and fill in the following blanks: (i) ∠AOC and ∠COE form a pair of ……….. angles. Click here to get an answer to your question ️ True or false. Answer: (a) 5. (False) Correct: As the sum of two acute angles is less than 180°. true. 2.the supplement of an obtuse angle is always acute. Click hereto get an answer to your question ️ \"State whether the following statements are true or false.\na. A pair of complementary angles is Complementary angles must be acute. (d) x = 45 Books; Test Prep; Summer Camps; Office Hours; Earn Money ; Log in ; Join for Free. A pair of vertical angles can be supplementary. (vi) Angles of a linear pair are adjacent as well as supplementary. If ∠APQ = 50° and ∠PRD = 130°, then ∠QPR is Two acute angles can be vertical, adjacent, complementary. There are 3 interior angles in a triangle; therefore no two angles in a triangle can ever be supplemental whether it is a right triangle or not. (vi) Angles of a linear pair are as well as ……….. (vi) 30° is one-half of its complement. In the given figure, the value of x that will make AOB a straight line is In the given figure, AB || CD. (iii) Two obtuse angles can form a linear pair. (ii) Two acute angles can form a linear pair. Geometry true and false. (a) 55°, 115° Gravity. true or false 1.vertically opposite angles are always supplementary. Verticle angles are opposite to each other when two lines cross. Now, we know supplementary angles are the angles that add up to 180°. false. 1 two obtuse angles can be supplementary 2. two right angles can from a linear pair 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. 100. acute angle. A pair of vertical angles can be complementary. State whether the following statements are true (T) or false (F): (i) Two obtuse angles can be supplementary. Required fields are marked *, Concise Mathematics Class 10 ICSE Solutions 2018. TRUE/FALSE DIRECTION : Read the following statements and write your answer as true or false. (viii) If two lines are cut by a transversal, 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°. False - 2 acute angles do not add to 180 degrees . 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. Answer (i) No, because sum of two acute angles is less than 1 8 0 o. 1. true or false: Q is the vertex of

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