Question

For the diagram above, the value of $x^{\circ }=$.

• A. ${150}^{\circ }$
• B. ${140}^{\circ }$
• C. ${130}^{\circ }$

Answer 1

The correct option is A ${150}^{\circ }$

For the diagram shown:
$\angle AOB+\angle AOC+\angle BOC={360}^{\circ }$
$\Rightarrow {90}^{\circ }+{120}^{\circ }+x^{\circ }={360}^{\circ }$
$\Rightarrow x^{\circ }={360}^{\circ }-({120}^{\circ }+{90}^{\circ })$
$\Rightarrow x^{\circ }={360}^{\circ }-{210}^{\circ }={150}^{\circ }$