Answer:
50°
Explanation:
In the figure attached, the plot of the problem is shown.
Assuming that segments DE and CF are parallel then the following angles are congruent:
∠DEG ≅ ∠CFG
∠CGF ≅ ∠DGE
∠GCF ≅ ∠GDE
As a consequence, ∠DEG = 50°
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