P, R and S lie on a circle center as shown above while Q lies outside the circle. Find ∠PSO
Attached Figure / Diagram
A
45o
B
55o
C
35o
D
40o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
xo = 35 + 20 (Exterior angle = sum of two interior opposite angles)
x = 55o (∠ at the center twice ∠ at circumference) y = 110o
∠PSO = ∠SPO (base ∠S of 1sc \Delta b/c PO = SO)
∴ ∠PSO = (180 - 110)/2
= 35o
Source: Myschool Past Questions Archive (Record #8035)