Question

what is the measure of ∠xyz? a. 72° b. 36° c. 17° d. 55°

Explanation:

Step1: Recall the inscribed - angle theorem

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

Step2: Identify the intercepted arc of ∠XYZ

The intercepted arc of ∠XYZ is arc XZ. The measure of arc XZ is given as 17°.

Step3: Calculate the measure of ∠XYZ

Since the measure of an inscribed angle is half the measure of its intercepted arc, and the measure of arc XZ is 17°, then the measure of ∠XYZ is 17°.

Answer:

C. 17°