Unless my counting skills are plummiting, the shape created by the 6 lines should form a hexagon. And, in a hexagon, there should be a total of 720 degrees. (angle sum). So, all we need to do is find the angles that we do know, and solve for x. We know that:
Now that we have all the angles that we know, it is time to solve for x. So, 720-(45+45+240+120+120)=720-57=150.