IN the diagram above POQ is a diameter of the c... - JAMB Mathematics 2006 Question

IN the diagram above, POQ is a diameter of the circle PQRS. If ∠PSR = 145^o, find x^o

∠PSQ = 90^o (∠ in semi circle)

∠PSQ + ∠QSR = 145^o

90 + ∠QSR = 145

∠QSR = 145 - 90

∠QSR = 55^o

BUt x^o = ∠QSR (∠s in the same segment)

∴x^o = 55^o