Question

In the figure below, OP, OQ, OR and OS are four rays. Then, find $\frac{(\angle POQ+\angle QOR+\angle SOR+\angle POS)}{3}$.

• A.

  ${60}^{\circ }$

• B.

  ${120}^{\circ }$

• C.

  ${30}^{\circ }$

• D.

  ${45}^{\circ }$

Answer 1

The correct option is B

${120}^{\circ }$

Angle about a point is equal to ${360}^o$

Hence, $\angle POQ+\angle QOR+\angle SOR+\angle POS)={360}^o$

$\Rightarrow$ $\frac{(\angle POQ+\angle QOR+\angle SOR+\angle POS)}{3}$ = $\frac{360}{3}$

= ${120}^o$