Question

Find the value of $x$ in the given figure.

• A. $32$
• B. $68$
• C. $64$
• D. $58$

Answer 1

The correct option is A $32$

$\angle POR+\angle QOR={180}^{\circ }$ (angles of a linear pair)

$\Rightarrow (2x+60{)}^{\circ }+(3x-40{)}^{\circ }={180}^{\circ }$

$\Rightarrow 2x+60+3x-40={180}^{\circ }$

$\Rightarrow 5x+20={180}^{\circ }$

$\Rightarrow 5x=180-20=160$

$\Rightarrow x=32$