Question

question 4 of 10 what is the measure of ⁀xy? a. 43° b. 137° c. 133° d. 47°

Explanation:

Step1: Recall angle - arc relationship

The measure of an inscribed angle is half the measure of its intercepted arc. In the given circle, assume the relevant inscribed - angle and arc relationship.

Step2: Identify the inscribed angle

The angle with measure $43^{\circ}$ is an inscribed angle that intercepts arc $\widehat{XY}$.

Step3: Calculate arc measure

Since the measure of an inscribed angle $\theta$ and its intercepted arc $s$ are related by $\theta=\frac{1}{2}s$, if $\theta = 43^{\circ}$, then the measure of arc $\widehat{XY}$ is $43^{\circ}$ (because the central angle corresponding to arc $\widehat{XY}$ and the given inscribed - angle relationship).

Answer:

A. $43^{\circ}$