To solve this you must understand that the top angles are equal and the bottom angles are equal.
Assuming line ST and line RQ are parallel:
angle Q = angle R
52 = 52
angle R = 52
To solve for the top 2 angles you can use 2a + 2b = 360, you can plug in 52 as either, 2b = 256 so b = 128
angle S = 128
