Question

The given figure shows $PQ=PR$ and $\angle Q=\angle R$ Prove that $\Delta PQS\equiv \Delta PRT$

Answer 1

In $△PQS$ and $△PRT$,
$PQ=PR$ (Given)
$\angle Q=\angle R$ (Given)
$\angle QPS=\angle RPT$ (Common angle)
Hence, $△PQS\cong △PRT$ (SAS rule)