Answer:
![\huge\boxed{57 \textdegree}](https://img.qammunity.org/2021/formulas/mathematics/high-school/4mrt5eep9gr64zq929tq3lvsbjcqieue1t.png)
Explanation:
We can use basic angle relationships to find the measure of ∠CDG.
We already know that ∠HGD is 57°. Since Lines CE and FH are parallel, we can tell that ∠HGD and ∠CDG are alternate interior angles. This means that their angle measures will be the exact same.
So, since ∠HGD is 57°, so it ∠CDG.
Hope this helped!