Question

Value of $x$ in the given figure is

• A. ${32}^0$
• B. ${67}^0$
• C. ${35}^0$
• D. ${42}^0$

Answer 1

The correct option is B ${67}^0$

$\angle PRQ=\angle SRQ$ (Vertically opposite angles)

Using angle sum property in $△PRQ$

$x+x+\angle PRQ={180}^{\circ }......\left(i\right)$

Similarly in $△SRT$

${61}^{\circ }+{73}^{\circ }+\angle SRT={180}^{\circ }.....\left(ii\right)$

Comparing $\left(i\right)$ and $\left(ii\right)$

$\Rightarrow x+x={61}^{\circ }+{73}^{\circ }2x={134}^{\circ }x={67}^{\circ }$