Answer:
x = 100
Explanation:
This problem can be solved if you ignore line DC.
We know that angle FED + angle DEB = angle FEB = 100
Now, if you ignore line DC, you realize that FEB and AEG are vertical angles(opposite angles of 2 intersecting lines). This means that FEB is actually congruent to AEG.
So therefore:
x = AEG = FEB = 100