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 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