What value of x will make AB perpendicular to CD

Answer:
x = 7
Step-by-step explanation:
From the picture attached,
m∠CGE = m∠FGD = (2x + 4)° [vertically opposite angles]
If m∠BGC = 90° Or AB⊥CD,
m∠CGE + m∠EGB = 90°
(2x + 4)° + (11x - 5)° = 90°
13x - 1 = 90
13x = 91
x = 7
Therefore, x = 7 will make the lines AB and CD perpendicular.