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P, R and S lie on a circle center as shown above while Q lies...

Mathematics
JAMB 2004

P, R and S lie on a circle center as shown above while Q lies outside the circle. Find ∠PSO

  • A. 45o
  • B. 55o
  • C. 35o
  • D. 40o
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Correct Answer: Option C
Explanation

xo = 35 + 20 (Exterior angle = sum of two interior opposite angles)
x = 55o (∠ at the center twice ∠ at circumference) y = 110o
∠PSO = ∠SPO (base ∠S of 1sc Δ b/c PO = SO)
∴ ∠PSO = (180 - 110)/2
= 35o

There is an explanation video available below.


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Explanation Video

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