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 CGD?
A.
68°
B.
82°
C.
90°
D.
98°
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).