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.
• B.
• C.
• D.

Answer 1

The correct option is B

Angle about a point is ${360}^o$.

Therefore

$\angle$POQ + $\angle$QOR + $\angle$SOR + $\angle$POS = ${360}^{\circ }$

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