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In Figure, PQR = PRQ, then prove that PQS = PRT.

Lines and Angles

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09/07/2021 12:18 pm

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Satkriti Roao

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In Figure, PQR = PRQ, then prove that PQS = PRT.

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09/07/2021 12:20 pm

Samar shah

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Since ST is a straight line so,

∠PQS+∠PQR = 180° (linear pair) and

∠PRT+∠PRQ = 180° (linear pair)

Now, ∠PQS + ∠PQR = ∠PRT+∠PRQ = 180°

Since ∠PQR =∠PRQ (as given in the question)

∠PQS = ∠PRT.

Hence proved.

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