Question

What is the degree measure of Angle P?

Answer 1

• 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