Question

question 1 of 10 the measure of $overparen{xy}$ is 94°. what is the measure of $angle xyz$, the tangent - chord angle?

Explanation:

Step1: Recall tangent - chord angle formula

The measure of a tangent - chord angle is half the measure of the intercepted arc.

Step2: Calculate the angle measure

Let the measure of the intercepted arc $\overparen{XY}$ be $m\overparen{XY}=94^{\circ}$. The measure of $\angle XYZ$ (tangent - chord angle) is $\frac{1}{2}m\overparen{XY}$. So, $\angle XYZ=\frac{1}{2}\times94^{\circ}=47^{\circ}$.

Answer:

B. 47°