Question on: JAMB Mathematics - 2004

x^o = 35 + 29 (Exterior angle = sum of two interior opposite angles)

x = 55^o (∠ at the center twice ∠ at circumference) y = 110^o

∠PSO = ∠SPO (base ∠S of 1sc Δ b/c PO = SO)

∴ ∠PSO = (180 - 110)/2

= 35^o