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

  • A 45 degrees
  • B 55 degrees
  • C 35 degrees
  • D 40 degrees
jamb 2004mathematics

The correct answer is C. 35 degrees

x = 35 + 29 (Exterior angle = sum of two interior opposite angles)

x = 55

(∠ at the center twice ∠ at circumference) y = 110

∠PSO = ∠SPO (base ∠S of 1sc Δ b/c PO = SO)

∴ ∠PSO = (180 - 110)/2= 35

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