I can't find the value of x or DEG, I've been stuck for a while.

x = 4∠DEG = 32°

Step-by-step explanation:

We know that:

If a rectangle is divided by its diagonals, it will form 4 isosceles triangles (ΔDGH, ΔFHE, ΔGHF, ΔDHE).ΔFHE = 180 = 64 + 2yΔGHF = Isosceles triangle [∠G = ∠F]180 = 64 + 2(FEH)=> 116 = 2(FEH)=> ∠FEH = 116/2 = 58=> 90 - 58 = ∠DEG=> ∠DEG = 32°=> 90° = 6x + 8 + 58=> 90° = 6x + 66=> 90 - 66 = 6x=> 24 = 6x=> x = 4