Question

In the figure given above, what is the value of $x$?

• A. ${30}^{\circ }$
• B. ${40}^{\circ }$
• C. ${45}^{\circ }$
• D. ${60}^{\circ }$

Answer 1

The correct option is D ${60}^{\circ }$

$\angle ACB={180}^{\circ }-{120}^{\circ }={60}^{\circ }$
$\Rightarrow 2x=x+{60}^{\circ }$ so $x={60}^{\circ }$