Question

If arc SQ = 92° and arc QR = 86°, what is the measure of ∠RPS?

Answer 1

I think it is (RS-QS)/2

RS=360-(92+86)=360-178=182

<SPQ =(182-92)/2=90/2=45 grades

Answer 2

The measure of m<RPS is 45 degrees.

Circle geometry

From the given diagram;

• arc RS = 360 - (arcSQ + arxQR)
• arcRS = 360 - (92+86)
• arcRS = 182 degrees

The measure of <RPS = 182-92/2

The measure of <RPS = 45 degrees

Hence the measure of m<RPS is 45 degrees.

Learn more on circle geometry here: https://brainly.com/question/24375372