P, R and S lie on a circle center as shown above while Q lies outside the circle. Find ∠PSO
- 45o
- 55o
-
35o
- 40o
The correct answer is: 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