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In the figure, PQ is the tangent from P to the circle QRS with SR...

Mathematics
JAMB 1985

In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QPR = \(\theta\)o and RQP = \(\phi\)o, which of the following relationships between \(\theta\)o and \(\phi\)o is correct

  • A. \(\theta\)o + \(\phi\)o = 902
  • B. \(\phi\)o = 902 - 2\(\theta\)o
  • C. \(\theta\)o = \(\phi\)o
  • D. \(\phi\)o = 2\(\theta\)o
  • E. \(\theta\)o + 2\(\phi\)o
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Correct Answer: Option E
Explanation

180 - \(\phi\)o = \(\theta\)o + \(\phi\)o (Sum of opposite interior angle equal to its exterior angle)

180 = 2\(\phi\) + \(\theta\)o

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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