Question

remy constructed the angle bisector of ∠qrs as shown in the image. he measures the ∠qrm as 55°. what is the measure of ∠mrs? (1 point) the measure of ∠mrs is 27.5°. the measure of ∠mrs is 110°. the measure of ∠mrs is 55°. the measure of ∠mrs is 220°.

Explanation:

Step1: Recall angle - bisector property

An angle bisector divides an angle into two equal angles. Since $\overrightarrow{RM}$ is the angle - bisector of $\angle QRS$, then $\angle QRM=\angle MRS$.

Step2: Substitute the given angle measure

Given that $\angle QRM = 55^{\circ}$, so $\angle MRS=55^{\circ}$.

Answer:

The measure of $\angle MRS$ is $55^{\circ}$.