Answer:
The answer is ∠EGH.
Explanation:
In order to determine the correct option, we have to know about adjacent angle.
Two angles are adjacent when they have a common side and vertex (corner point). So in this case, the adjacent angle must have GE or DG common side and the G vertex.
According to the options, the adjacent angle to ∠DGE is:
∠EGH
The other options are not adjacent angles because they do not have a common side.
Finally the correct option is ∠EGH.