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 calculate the measure of CGD, we first need to find the measure of angle GCD.
Angle GCD = Angle AGB (vertically opposite angles are equal) = 60°
Similarly, angle CGD = angle FGE = 22°
Therefore, the total measure of angle CGD = 60° + 22° = 82°
So, the correct answer is:
B. 82°