Question

I need the answer ASAP.

Answer 1

x = 60

Explanation:

∠ FGC = ∠ AGE = 30° ( vertical angles )

BGD is a straight angle so the 3 angles lying on it sum to 180, that is

x + 30 + 90 = 180

x + 120 = 180 ( subtract 120 from both sides )

x = 60

Answer 2

Angle EGD = x (vert. opp. angles)
30 ° + 90 ° + x = 180 ° (adj. angles on st. line)
x = 60