Lexi, this is the solution:
1. The line AB is dividing the angles: all the angles above AB add up to 180 degrees, and all the angles below AB also add up to 180 degrees.
2. Angles FED and CEG are vertical angles, because they are opposite to each other when two lines cross, and they are equal. Therefore, FED = CEG and both measure 130 degrees.
3. Angles DEB and AEC are also vertical angles. Therefore, DEB = AEC and both measure 20 degrees.
4. Now, we can solve for x. As you can see in the graph, x is the sum of angles AEC and CEG, therefore, x = AEC + CEG.
x = AEC + CEG
x = 20 + 130
x = 150 degrees :=)