Question

question 39 of 40 a student inscribes a triangle within a semicircle. what is the measure of ∠xyz? a. 90° b. 30° c. 60° d. 45°

Explanation:

Step1: Recall circle - angle theorem

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

Step2: Identify the inscribed angle

In triangle $XYZ$ inscribed in a semi - circle, $\angle XYZ$ is the inscribed angle subtended by the diameter $XY$. So, $\angle XYZ = 90^{\circ}$.

Answer:

A. 90°