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

Assessment: JAMB UTME - Mathematics - 2004 Subject: General Mathematics

Question 1 Report


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

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

Read lesson note on Circles (WAEC)
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