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

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

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∠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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