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Answer:
60°
Explanation:
The congruence statement tells you the measures of the marked angles are the same:
4x +20 = 5x +10
10 = x . . . . . . . . . . . subtract 4x+10
Then angle EGF has measure ...
m∠EGF = 5x+10 = 5·10 +10
m∠EGF = 60 . . . . degrees