In the diagram, has a measure of 65° and has a measure of 35°.

Question

The ray F-G cuts angle E-F-H into two angles; E-F-G and G-F-H.

What is the measure of

A.
30°

B.
35°

C.
65°

D.
100°

Answer 1

Since angle E-F-H is cut by ray F-G, we know that angle E-F-G and angle G-F-H must add up to the measure of angle E-F-H.

Given that angle E-F-H has a measure of 65°, and angle G-F-H has a measure of 35°, we can subtract 35° from 65° to find the measure of angle E-F-G.

Therefore, the measure of angle E-F-G is 65° - 35° = 30°.

Therefore, the answer is A. 30°.