2 answers:
Answer:
x = 60
Step-by-step 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
Angle EGD = x (vert. opp. angles)
30 ° + 90 ° + x = 180 ° (adj. angles on st. line)
x = 60
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