Answer:
The answer is m∠RPS=23°.
Step-by-step explanation
Our goal is to solve m∠ RPS and hence we need to solve the unknown x.
We get the equation
180°=6x+11°+7x+143°,
noticing m∠RPS+m∠QPR=180° that is a straight angle.
Then solving the equation gives
180°=13x+154°
13x=26°
x=2°.
Finally replacement gives
m∠ RPS=6*2°+11°=23°.
The answer is m∠RPS=23°.