Respuesta :

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