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In the diagram above, O is the center of the circle QRT and PT is...

Mathematics
WAEC 1989

In the diagram above, O is the center of the circle QRT and PT is a tangent to the circle at T. Calculate the angle x

  • A. 55o
  • B. 40o
  • C. 35o
  • D. 25o
  • E. 20o
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Correct Answer: Option E
Explanation

< PTQ = <TRQ = 35º

< QTR = 90º

So, < PTR = 35º + 90º = 125º

Therefore, ∠QPT = xº = 180º - 125º - 35º = 20º

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