Question

In the given fig. $\angle PQR=\angle \mathrm{PRQ}$ , then "$\angle PQS=\angle \mathrm{PRT}$ " is true / false ?

• A. True
• B. False

Answer 1

The correct option is A True

Given

$\angle PQR=\angle PRQ=x\left(say\right)$

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

$⟹\angle PQS=180-x\cdots \left(1\right)$

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

$⟹\angle PRQ=180-x\cdots \left(2\right)$

From $\left(1\right),\left(2\right)$

$⟹\angle PQS=\angle PRT$