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lys-0071 [83]
4 years ago
10

Segments PR and QT are diameters of Circle A.

Mathematics
1 answer:
Dafna11 [192]4 years ago
6 0

Answer:

C. 320

Step-by-step 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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