Question

question 7 of 10 what is the measure of $widehat{yz}$? a. 142° b. 38° c. 52° d. 128°

Explanation:

Step1: Recall inscribed - angle theorem

Inscribed angles that intercept the same arc are equal.

Step2: Identify arcs

Arc $XU$ is intercepted by $\angle Y$ and $\angle Z$.

Step3: Determine angle measure

Since $\angle Y$ and $\angle Z$ intercept the same arc $XU$, and the measure of the arc $XU$ is related to the central - angle or other inscribed - angles. Here, the measure of the inscribed angle $\angle Y$ (which intercepts arc $XU$) is equal to the measure of the inscribed angle $\angle Z$ which also intercepts arc $XU$. Given the measure of the arc - related angle near $U$ is $38^{\circ}$, the measure of $\angle Z$ is $38^{\circ}$.

Answer:

B. 38°