Question

What is the measure of arc HG if m_FGH=77°?

A) 77°
B) 103°
C) 180°
D) 257°

Answer 1

The measure of arc HG is 154°.

Step-by-step explanation:

To find the measure of arc HG, we need to determine the measure of angle FGH.

We are given that the measure of angle FGH is 77°.

Since angle FGH is an inscribed angle, the measure of the arc it intercepts is twice the measure of the angle. Therefore, the measure of arc HG is 2 times 77°, which is 154°.