Equation with angle addition help me please answer


Answer:
As described in picture:
RPS = 5x + 34
QPR = 8x + 15
RPS +QPR = QPS = 88
=>5x + 34 + 8x + 15 = 88
=> 13x + 49 = 88
=> 13x = 39
=> x = 3
=> RPS = 5 x 3 + 34 = 15 + 34 = 49 deg
Hope this helps!
:)