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Question

In Fig.,QRQS=QTPR and 1=2. Show that PQSTQR.
465430_965d5df7f92f4c76a255b8ce607a2e6d.png

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Solution

In PQR,
Since, 1=2
PR=PQ (Opposite sides of equal angles are equal) .....(1)
In PQS and TQR,
QRQS=QTPR....(Given)
i.e., QRQS=QTPQ....(From1)
Also, Q is common
By SAS criterion of similarity, PQSTQR.

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