In the given figure, if AB || CD, ∠APQ = 50º and ∠PRD = 127º, find x and y. - Mathematics

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In the given figure, if AB || CD, ∠APQ = 50º and ∠PRD = 127º, find x and y.

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Solution

∠APR = ∠PRD  (Alternate interior angles)

50º + y = 127º

y = 127º − 50º

y = 77º

Also, ∠APQ = ∠PQR   (Alternate interior angles)

50º = x

∴ x = 50º and y = 77º

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Chapter 6: Lines and Angles - Exercise 6.2 [Page 105]

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NCERT Mathematics Class 9
Chapter 6 Lines and Angles
Exercise 6.2 | Q 5 | Page 105

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