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In the figure below mPUR =77 and mST=74 Find mPR
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In the figure below mPUR =77 and mST=74 Find mPR

In the figure below mPUR =77 and mST=74 Find mPR-example-1
User Gopalkrizna
by
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1 Answer

3 votes

Answer:

a)

The angle formed by intersecting chords is half of the sum of the intercepted arcs:

  • 1/2(mST + mPR) = m∠PUR
  • 1.2(74° + mPR) = 77°
  • 74° + mPR = 2*77°
  • mPR = 154° - 74°
  • mPR = 80°

b)

The angle formed by two tangents is the half of the difference of the intercepted arcs:

  • m∠PSR = 1/2(mPTR - mPR)
  • m∠PSR = 1/2(247° - (360° - 247°))
  • m∠PSR = 247° - 180°
  • m∠PSR = 67°
User Yatu
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