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Segments PR and QT are diameters of Circle A.

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

Segments PR and QT are diameters of Circle A. Find the mPRU A. 220 B. 40 C. 320 D-example-1

1 Answer

5 votes

Answer:

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°

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