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Question

In the figure, PQR=PRQ, then prove that PQS=PRT.
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Solution

As Given, PQR=PRQ

To prove: PQS=PRT

According to the question,

PQR+PQS=180 Linear Pair

PQS=180PQR--- (i)

Also PRQ+PRT=180 Linear Pair

PRT=180PRQ

PRQ=180PQR(ii)(PQR=PRQ)

From (i) and (ii),

PQS=PRT=180PQR

PQS=PRT [henceproved]

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