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In Fig. 6.32, if A B||C D ,/A P Q=50^@ a...

In Fig. 6.32, if `A B||C D ,``/_A P Q=50^@`` and ``/_P R D=127^@`, find x and y.

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AB and CD are parallel lines cut by transversal PQ hence the alternate interior angles formed are equal.
`∠APQ = ∠PQR` and hence `x = 50^@`.
Similarly, AB and CD are parallel lines cut by transversal PR hence the alternate angles formed are equal.
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