Question

given that ray xz bisects <wxy, find the measurement of the angles. m<wxz = type your answer.. m<zxy = type your answer..

Explanation:

Step1: Recall angle - bisector definition

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

Step2: Identify the given angle

The measure of $\angle WXY$ is $146^{\circ}$.

Step3: Calculate the measure of sub - angles

Since ray $XZ$ bisects $\angle WXY$, then $m\angle WXZ=m\angle ZXY=\frac{1}{2}m\angle WXY$.
So, $m\angle WXZ = \frac{146^{\circ}}{2}=73^{\circ}$ and $m\angle ZXY=\frac{146^{\circ}}{2}=73^{\circ}$.

Answer:

$m\angle WXZ = 73^{\circ}$
$m\angle ZXY = 73^{\circ}$