jenellp11
jenellp11 jenellp11
  • 23-04-2020
  • Mathematics
contestada

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 270 class=

Respuesta :

thaovtp1407
thaovtp1407 thaovtp1407
  • 01-05-2020

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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