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°
B. 82°
To find the measure of CGD, notice that angle CGD is a vertical angle to angle AGB (since they are opposite each other where lines B-E and C-F intersect). Therefore, the measure of angle CGD is also 60 degrees.
Since angle FGE + angle AGB + angle CGD add up to 180 degrees (as they form a straight line), we can find the measure of angle FGE + angle CGD:
22 degrees + 60 degrees = 82 degrees
Therefore, the measure of angle CGD is 82 degrees.