Answer:
x = 41°
Explanation:
This image is just an example of explain Vertical Opposite Angle which mean those angle are the same.
Those three angles add up to 117°
<BGC + <CGD + <DGE = 117°
(x - 2) + (x - 2) + (x - 2) = 117°
(x + x + x) + (- 2 - 2 - 2) = 117°
3x - 6 = 117°
3x = 123°
x = 41°