In the diagram below, we have line AB is parallel to line CD, EF = FG, < BEF = 130 degrees + x degrees, and < AEG = x degrees. Find the value of x.
Since EAG =x
Then EGF = x {since EG is a transversal cutting parallel lines}
But since EF = FG then angle FEG also = x
So
BEF + FEG + AEG =180
130 + x + x + x = 180
130 + 3x = 180
3x = 180 - 130
3x = 50
x = 50 / 3
yep 50/3
