Question

other than itself, which angle is congruent to ∠fga?

Explanation:

Step1: Identify Vertical Angles

Vertical angles are formed by two intersecting lines and are opposite each other. They are congruent.

Step2: Analyze $\angle FGA$

Line $AD$ and line $CF$ intersect at point $G$. $\angle FGA$ and $\angle DGC$ are vertical angles (opposite each other at the intersection of $AD$ and $CF$).

Step3: Conclude Congruence

Since vertical angles are congruent, $\angle FGA \cong \angle DGC$.

Answer:

$\angle DGC$