Question

In the figure $\angle PQR=\angle PRQ$, then prove that $\angle PQS=\angle PRT$

Answer 1

$\angle PQR=\angle PRQ$ (Given)

then

$\angle PQR+\angle PQS={180}^o$ (Linear Pair)

$\angle PRQ+\angle PRT={180}^o$ (Linear Pair)

If $\angle PQR=\angle PRQ$

then $\angle PQS=\angle PRT$