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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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