Answer: x = 11
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Work Shown:
The angles marked all form a straight 180 degree angle
So they add up to 180. Use this fact to solve for x
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(angle AFB)+(angle BFC)+(angle CFD) = 180
(4x+5)+(6x+3)+(5x+7) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11