Question

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

Answer 1

I THINK IT’S “D.100” because of how it angled

Answer 2

D. 100°

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°