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 = 145o, find xo
A
55o
B
45o
C
35o
D
25o
correct option: a
∠PSQ = 90o (∠ in semi circle)
∠PSQ + ∠QSR = 145o
90 + ∠QSR = 145
∠QSR = 145 - 90
∠QSR = 55o
BUt xo = ∠QSR (∠s in the same segment)
∴xo = 55o
∠PSQ + ∠QSR = 145o
90 + ∠QSR = 145
∠QSR = 145 - 90
∠QSR = 55o
BUt xo = ∠QSR (∠s in the same segment)
∴xo = 55o
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