Question

in adjacent figure PQRS is a quadrilateral in which PS=QR and PR=SQ, prove that angle PSQ= angle QRP and angle SPQ= angle RQP




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Answer 1

Answer:

In △QPS and △PQR,

PS = QR [Given]

QS = PR [ Given]

QP = PQ [Common]

Therefore, △QPS ≅ △PQR by SSS rule.

Now, ∠PSQ = ∠QRP by CPCT

∠SPQ = ∠RQP by CPCT