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 CGD?

A.
68°

B.
82°

C.
90°

D.
98°

Answer 1

To find the measure of angle CGD, we need to use the fact that the sum of angles around a point is 360 degrees.

We have:

Angle FGE = 22 degrees
Angle AGB = 60 degrees

Since line A-D, B-E, and C-F intersect at G, we can use the angles around a point to determine that:

Angle CGD = 360 - (Angle FGE + Angle AGB) = 360 - (22 + 60) = 278 degrees

Therefore, the measure of angle CGD is 98 degrees (option D).