Question

a student inscribes a triangle within a semicircle. what is the measure of ∠xyz? a. 60° b. 30° c. 90° d. 45°

Explanation:

Step1: Recall circle - angle theorem

An angle inscribed in a semi - circle is a right angle.

Step2: Identify the given angle

The angle $\angle XYZ$ is an inscribed angle in the semi - circle with the diameter $XZ$.

Answer:

C. $90^{\circ}$