Respuesta :

dannielle
I think it is (RS-QS)/2

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

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

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.

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