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What is the degree measure of Angle P?
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What is the degree measure of Angle P?

What is the degree measure of Angle P?-example-1
User Stevenmc
by
4.9k points

1 Answer

11 votes

Answer:

  • D. 40°

Explanation:

Angle formed by two secants is half of the difference of intercepted arcs:

  • m∠P = 1/2(mST - mQR)

Find the measure of missing arc:

  • mQR = 360° - (85° + 95° + 175°) = 5°

Substitute the value of arc QR into above equation:

  • m∠P = 1/2(85° - 5°) = 40°

Correct choice is D

User Lukas Novicky
by
5.3k points
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