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Answer:
∠AGC or ∠FGD
Explanation:
∠AGF is part of two linear pairs. The other angle in the pair is supplementary to ∠AGF.
Point G is on line AD, so ∠FGD is a supplementary angle to ∠AGF.
Point G is on line FC, so ∠AGC is a supplementary angle to ∠AGF.