Question

value: 2
find the measure of the given angle.
o a. 45°
o b. 90°
o c. 180°
o d. 360°

Explanation:

Step1: Recall circle - angle theorem

An angle inscribed in a semi - circle is a right angle. Here, arc $HF$ is a semi - circle and $\angle HGF$ is an inscribed angle subtended by arc $HF$.

Step2: Determine the measure of the angle

The measure of an inscribed angle in a semi - circle is $90^{\circ}$.

Answer:

B. $90^{\circ}$