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In the diagram, PR is a diameter of the circle centre O. RS is a...

Mathematics
WAEC 2006
In the diagram, PR is a diameter of the circle centre O. RS is a tangent at R and QPR = 58o. Find < QRS
  • A. 112o
  • B. 116o
  • C. 122o
  • D. 148o
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Correct Answer: Option C
Explanation
PRQ = 90 - 58 = 32o(angle in a semi-circle)

Since PRS = 90o(radius angular to tangent)

QRS = 90 + 32

= 122o
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