Question 1025583: In the diagram below, we have AB parallel to CD, EF = FG, angle BEF = 100degrees, and angle AEG = x degrees. Find the value of x.
IMAGE:CONVERT FROM ASYMPTOTE
[asy]
pair A,B,C,D,EE,F,G;
D = (0,0);
C = (1.5,0);
A = (1.5,0.7);
B = (0,0.7);
draw (A--B);
draw(C--D);
EE = (0.2,0.7);
F = (0.4,0);
G = F + (sqrt(0.53),0);
draw(F--EE--G);
label("$G$",G,S);
label("$F$",F,S);
label("$E$",EE,N);
label("$A$",A,E);
label("$C$",C,E);
label("$B$",B,W);
label("$D$",D,W);
dot(A);
dot(B);
dot(C);
dot(D);
[/asy]
Answer by ikleyn(52835)   (Show Source):
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