Question

Measure of an angle is ${60}^{\circ }$. What is the value of angles formed if the original angle is bisected by angle bisector?

• A. ${30}^{\circ }$
• B. ${20}^{\circ }$
• C. ${15}^{\circ }$
• D. ${60}^{\circ }$

Answer 1

The correct option is A ${30}^{\circ }$

Given $\angle \text{AOB}$ having measure of ${60}^{\circ }$ is bisected by angle bisector $\text{OC}$.

We know that angle bisector divides the original angle into two equal angles.
So, the values of angles formed after bisection i.e $\angle \text{AOC}$ and $\angle \text{COB}$ are $\frac{(60{)}^{\circ }}{2}={30}^{\circ }$ each.