This figure shows 3 intersecting lines.

Question

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°

Answer 1

To find the measure of angle C-G-D, we first need to consider angles along a straight line.

Angle A-G-B is 60°.
Angle F-G-E is 22°.

Therefore, angles A-G-E is 60° + 22° = 82°.

For angles C-G-E, it is 180° - 82° = 98°.

Finally, for angle C-G-D, we have

angle C-G-D + angle C-G-E = 180°

angle C-G-D + 98° = 180°

angle C-G-D = 82°

So the answer is:

D. 98°