Question

Three rays originates from a point as shown. $\angle$AOB is ${60}^{\circ }$ and $\angle$AOC is ${15}^{\circ }$. Find $\angle$BOC.

• A. ${15}^{\circ }$
• B. ${45}^{\circ }$
• C. ${30}^{\circ }$
• D. ${75}^{\circ }$

Answer 1

The correct option is B

${45}^{\circ }$

From the figure, we can observe that $\angle$AOC and $\angle$BOC are adjacent angles.

Also, $\angle$AOB = $\angle$AOC + $\angle$BOC

or, ${60}^{\circ }$ = ${15}^{\circ }$ + x

or, x = ${45}^{\circ }$.