This figure shows 3 intersecting lines.

Lines A-D, B-E, and C-F intersect at G. The angles F-G-E is 22 degrees, angle A-G-B is 60 degrees.

What is the measure of ?

A.

68°
B.

82°
C.

90°
D.

98°

1 answer

B. 82°

To find the measure of angle A-G-E, we can use the fact that the sum of angles around a point is 360 degrees. So, angle A-G-E = 360 - angle A-G-B - angle F-G-E = 360 - 60 - 22 = 278 degrees.

Since we know that angle A-G-E is supplementary to angle A-G-E, we can then subtract angle A-G-E from 180 to find the measure of angle A-G-E: 180 - 278 = 82 degrees.