Question:

In Figure, if AB \(||\) CD, \(∠\) APQ = 50° and \(∠\) PRD = 127°, find x and y.

CBSE Class IX

Updated On: Nov 16, 2023

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Solution and Explanation

\(∠\)APR=\(∠\)PRD [Alternate interior angles]
50°+y=127°
y=127°−50°
y=77°
Also,
\(∠\)APQ=\(∠\)PQR [Alternate interior angles]
50°= x
\(∴\) x=50° and y=77°

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