All angles in any quadrilaterals(any shape with 4 sides) add up to 360. There are two right angles in the trapezoid which represents 90 degrees. We are also given the angle 52 degrees. To find x, we need to add all the values together and subtract from 360. To do this the equation should look like this: 90 + 90 + 52 + x =360. This simplifies to 232 + x = 360. Then we subtract 232 from both sides to find x. x = 128.
