I got x=25. I didn't draw any new lines.. I just worked out all the angles I could within the diagram, and then played x and y (other unknown angle within small triangle containing x) off against one another using dead-simple algebra.

Along the way I got:

y+x=130

x=y-80

Another hint - you know that point E has three angles - 30, x, (180-30-x). Similar logic works on the other side too.