The measure of angle SUT is 5 degrees.
In a rectangle, opposite angles are equal. Therefore, angle SUT and angle UST in rectangle STUV are equal. Let's denote the measure of angle SUT as A.
Given that UST = A and SUT = A, we can set up an equation:
3x - 22 = x - 4
Now, solve for x:
3x - x = 22 - 4
2x = 18
x = 9
Now that we have the value of x, substitute it back into the expression for angle SUT:
SUT = 3x - 22
SUT = 3(9) - 22
SUT = 27 - 22
SUT = 5
So, the measure of angle SUT is 5 degrees.