Question

if ∠avb has a measure of 80° and vm is its angle - bisector, what is the measure of ∠avm? a. 40° b. 80° c. 160° d. 20°

Explanation:

Step1: Recall angle - bisector definition

An angle - bisector divides an angle into two equal parts.

Step2: Calculate the measure of $\angle AVM$

If $\angle AVB = 80^{\circ}$ and $VM$ is the angle - bisector of $\angle AVB$, then $\angle AVM=\frac{1}{2}\angle AVB$. So, $\angle AVM=\frac{1}{2}\times80^{\circ}=40^{\circ}$.

Answer:

A. $40^{\circ}$