Answer:
The answer to your question is: x = 12
Explanation:
Data
∠H = ∠DHE
∠H = 134 °
If it is a rectangle, then ∠HDG = ∠DGH
DHG + GHF = 180
DHG = 180 - 134
DHG = 46°
The sum of the internal angles in a triangle equals 180°
DHG + HDG + DGH = 180°
46 + 2(5x + 7) = 180
2(5x + 7) = 180 - 46
2(5x + 7) = 134
5x + 7 = 134/2
5x + 7 = 67
5x = 67 - 7
5x = 60
x = 60/5
x = 12