Question

In the figure, determine the value of x.

Answer 1

In the figure,
$\angle AOC+\angle COB+\angle BOD+\angle AOD={360}^{\circ }$
(Angles at a point)
$\Rightarrow 3x+3x+x+{150}^{\circ }={360}^{\circ }$
$\Rightarrow 7x={360}^{\circ }-{150}^{\circ }={210}^{\circ }$
$\Rightarrow x=\frac{{210}^{\circ }}{7}={30}^{\circ }$
$\therefore x={30}^{\circ }$