Question

Segments PR and QT are diameters of Circle A.

Find the mPRU
A. 220
B. 40
C. 320
D. 270

Answer 1

C. 320

Explanation:

Given:

• PR and QT are diameters

As we can see in the photo, PR and QR are perpendicular with each other at the angle PAQ => the angle QAR = 90°

=> arc PR = 360°/2 = 180°

=> mTAU = 180° - mRAS -mSAT - mPAU = 180° - 50° + 40° + 40° = 50°

Hence, mPRU = mRAS + mSAT + mTAU + arc PQ

= 50° + 40° + 50° + 180°

= 320°