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 complete angle which is equal to ${360}^o$.

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

$\frac{(\angle POQ+\angle QOR+\angle SOR+\angle POS)}{3}=\frac{{360}^{\circ }}{3}={120}^o$