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Step-by-step explanation
To have AB perpendicular to CD, we need to have angles AEF and FED add up to 90 degrees.
(angle AEF) + (angle FED) = 90
(5x-7) + (7x-11) = 90
12x - 18 = 90
12x = 90+18
12x = 108
x = 108/12
x = 9