holacoma holacoma

04-03-2021
Mathematics

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What is the degree measure of Angle P?

What is the degree measure of Angle P class=

Respuesta :

mhanifa mhanifa

04-03-2021

Answer:

D. 40°

Step-by-step 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

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