Question

question 5 of 10 what is the measure of (overparen{xy})?

Explanation:

Step1: Recall central - angle theorem

The measure of an arc is equal to the measure of its central angle.

Step2: Identify the central angle for arc $\stackrel{\frown}{XY}$

The central angle for arc $\stackrel{\frown}{XY}$ is $\angle XZY$.

Step3: Determine the measure of $\angle XZY$

From the figure, $\angle XZY = 42^{\circ}$, so the measure of arc $\stackrel{\frown}{XY}$ is $42^{\circ}$.

Answer:

C. 42°