Question

question 8 of 10
what is the measure of ∠xyz?

Explanation:

Step1: Recall inscribed - angle theorem

The measure of an inscribed angle is half the measure of its intercepted arc.

Step2: Identify the intercepted arc

$\angle XYZ$ is an inscribed angle and the arc it intercepts is arc $WZ$. The measure of arc $WZ$ is $88^{\circ}$.

Step3: Calculate the measure of $\angle XYZ$

By the inscribed - angle theorem, $m\angle XYZ=\frac{1}{2}m\overset{\frown}{WZ}$. Substituting $m\overset{\frown}{WZ} = 88^{\circ}$, we get $m\angle XYZ=\frac{88^{\circ}}{2}=44^{\circ}$.

Answer:

B. $44^{\circ}$