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 In the diagram below, we have line AB is parallel to line CD, EF = FG, < BEF = 120 degrees + x degrees, and < AEG = x degrees. Find the value of x.

 

 Feb 4, 2022
 #1
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If angle BEF is 120 degrees, then angle FEG + anglex = 60 degrees. Using alternate interior angles, angle EFG is 120 degrees, and angle FEG = 60/2 = 30 degrees, so angle x = 30 degrees.

 Feb 5, 2022

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