Chapter E, Problem 3.1EX

To determine

To Find:

The measure of $\angle AEB$ .

Answer to Problem 3.1EX

The measure of $\angle AEB$ is option (d) ${45}^{\circ }$ .

Explanation of Solution

Given information:

If $\overrightarrow{BE}$ bisect $\angle ABC$ in the given figure.

If $\overrightarrow{BE}$ bisect $\angle ABC$ , then the section is divided into two parts.

Since $\overrightarrow{BE}$ is a bisector the angle of $\angle AEB={45}^{\circ }$ .

Therefore, the measure of $\angle AEB$ is option (d) ${45}^{\circ }$ .