omershah45 omershah45
  • 07-08-2020
  • Mathematics
contestada

Find mPRˆ(arc). A. 115 B. 95 C. 125 D. 100

Find mPRˆarc A 115 B 95 C 125 D 100 class=

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mhanifa
mhanifa mhanifa
  • 08-08-2020

Answer:

D. 100°

Step-by-step explanation:

Refer to picture attached

Lines QP and QR are tangent to radius of circle.

Triangles ΔQPO and ΔQRO are right triangles and line QO bisects angles of ∠PQR and ∠POR.

So as per sum of angles in right triangle, we have:

  • 1/2∠PQR + 1/2∠POR = 90°
  • 1/2(81x-1)° + 1/2(100x)° = 90°
  • (90.5x)°= 90.5°
  • x= 1°

Then:

  • mPR(arc)= (100x)°= 100*1°= 100°

Correct answer choice is D. 100°

Ver imagen mhanifa
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gjimesofia gjimesofia
  • 20-08-2020
I THINK IT’S “D.100” because of how it angled
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