Question

a student inscribes a triangle within a semicircle. what is the measure of ∠xyz? a. 120° b. 60° c. 45° d. 90°

Explanation:

Step1: Recall circle - angle theorem

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

Step2: Identify the inscribed angle

In the given figure, $\angle XYZ$ is an angle inscribed in a semi - circle.

Answer:

D. $90^{\circ}$