Question

what is an angle that is complementary to ∠dge?

Explanation:

Step1: Recall complementary - angle definition

Two angles are complementary if their sum is 90 degrees.

Step2: Observe the figure

There is a right - angle at point G. If we assume that the right - angle is composed of two non - overlapping angles, and one of them is ∠DGE, then the other angle that makes up the right - angle with ∠DGE is its complementary angle.
From the figure, we can see that ∠DGE+∠EGC = 90 degrees.

Answer:

∠EGC