yana2055 yana2055
  • 03-02-2018
  • Mathematics
contestada

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

If arc SQ 92 and arc QR 86 what is the measure of RPS class=

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dannielle
dannielle dannielle
  • 03-02-2018
I think it is (RS-QS)/2

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

<SPQ =(182-92)/2=90/2=45 grades
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abidemiokin
abidemiokin abidemiokin
  • 25-01-2022

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

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