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

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

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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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