Answer:
DGF=38
Explanation:
FGE is the total angle that adds up to 90 degree. We know that it is bisected into 2 separate angles where we know DGE is 52 but not DGF.
We use the following information above to make the equation x + 52 = 90 (x represent the unknown degree)
Then you just solve normally where you subtract 53 from 90 and get the solution of x=38.