Question

The figure, given alongside, shows two adjacent angles $AOB$ and $AOC$ whose exterior sides are along the same straight line. Find the value of $x$.

Answer 1

$BOC$ is a straight line. Using linear pair property, we have

$3x-{20}^{\circ }+{68}^{\circ }={180}^{\circ }$

$\Rightarrow 3x+{48}^{\circ }={180}^{\circ }$

$\Rightarrow 3x={132}^{\circ }$

$\Rightarrow x={44}^{\circ }$