Question

question 9 of 10 what is the measure of ∠z? a. 128° b. 142° c. 38° d. 52°

Explanation:

Step1: Recall inscribed - angle theorem

In a circle, angles inscribed in the same arc are equal.

Step2: Identify arcs

Angle $\angle{XUY}$ and $\angle{XZY}$ are inscribed in the same arc $\overset{\frown}{XY}$.

Step3: Determine angle measure

Since $\angle{XUY}=38^{\circ}$, then $\angle{XZY} = 38^{\circ}$. So the measure of $\angle{Z}$ is $38^{\circ}$.

Answer:

C. 38°