Question

question 3 of 10 what is the measure of ∠xyz? a. 126° b. 252° c. 63° d. 54°

Explanation:

Step1: Recall inscribed - angle theorem

The measure of an inscribed angle is half the measure of its intercepted arc.

Step2: Identify the intercepted arc

The intercepted arc of ∠XYZ is the arc XZ, and the measure of arc XZ is 126°.

Step3: Calculate the measure of the inscribed angle

Using the inscribed - angle theorem, m∠XYZ=$\frac{1}{2}$× measure of arc XZ. So m∠XYZ = $\frac{1}{2}\times126^{\circ}=63^{\circ}$.

Answer:

C. 63°