P, R and S lie on a circle center as shown above while Q lies outside the circle. Find ∠ PSO
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Correct Answer: Option C
Explanation:
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
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