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In the diagram above, < SQR = 52º and < PRT = 16º. Find the...

Mathematics
WAEC 2024

In the diagram above, < SQR = 52º and < PRT = 16º. Find the value of the angle marked y

  • A. 64\(^0\)
  • B. 68\(^0\)
  • C. 112\(^0\)
  • D. 128\(^0\)
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Correct Answer: Option C
Explanation

<RQS + <QRS + RSQ = 180º

52º + 16º + <RSQ = 180º

<RSQ = 180 - 52 - 16 = 112º

But <RSQ = y ( exterior angle of a cyclic quad.)

Therefore, y = 112º

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now