Question

In the diagram find the m∠EFG.

A) 20 degrees
B) 30 degrees
C) 40 degrees
D) 80 degrees

Answer 1

C) 40 degrees

Explanation:

The measure of an inscribed angle is 1/2 of the measure of the intercepted arc.

The measure of the arc is 80°. This makes the measure of the angle 1/2(80) = 40°.

Answer 2

C) 40 degrees

Explanation:

I would use the inscribed angle theorem as proof. The inscribed angle theorem means that the angle m EFG = x and line EG(80 degrees) = 2x

2x = 80

40 degrees

x = 40 degrees