We know that the sum of the angles in a quadrilateral all add up to 360 degrees. Here, we know all the angle degrees, just indirectly. To get our answer, we can add up all the given expressions together and make it equal to 360 degrees.
x + (x + 22) + x + (x + 22) + 90 + 90 = 360
Now, combine like terms, the solve for x.
2x + 22 + 2x + 22 + 180 = 360
4x + 44 + 180 = 360
4x + 224 = 360
4x = 136
x = 34
Therefore, the value of x in this problem is 34. Hope this helped and have a great day!
