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P R and S lie on a circle center as shown above... - JAMB Mathematics 2004 Question

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
correct option: c
xo = 35 + 29 (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
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