Question

What's the measure of angle RPS?

Answer 1

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°.