Question

In the given figure $\angle PQR=\angle PRQ$.

in this question the statement is $\angle PQS\ne \angle PRT$.

• A. True
• B. False

Answer 1

The correct option is B False

Given that

$\angle PQR=\angle PRQ$ ---eq.1

Here, $\angle PQR+\angle PQS={180}^o(\because \text{straight line})\angle PRQ+\angle PRT={180}^o(\because \text{straight angle})$

$\Rightarrow \angle PQR+\angle PQS=\angle PRQ+\angle PRT\Rightarrow \angle PQS=\angle PRT\left(\text{from eq.1}\right)$

Hense, the given statement is false.