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In the figure, O is the centre of circle PQRS and PS//RT. If PRT = 135,...

Mathematics
JAMB 1984

In the figure, O is the centre of circle PQRS and PS//RT. If PRT = 135, then PSO is

  • A. 67\(\frac{1}{2}\)o
  • B. 22\(\frac{1}{2}\)o
  • C. 33\(\frac{1}{2}\)o
  • D. 45o
  • E. 90o
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Correct Answer: Option D
Explanation

< R = 180o - 45o (sum of angles on a straight line)

< R = < P = 45o (corresponding angles)

< PSO = < P = 45o (\(\bigtriangleup\)PSO is a right angle)

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