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°
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°