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In the diagram above PQO is a diameter of the c... - JAMB Mathematics 2006 Question

In the diagram above, PQO is a diameter of the circle PQR. If < PSR = 145o find xo
A
35o
B
55o
C
25o
D
45o
correct option: b
Construction RQ

< PRQ = 90o(amgle substended at the circumfernce of a circle by diameter). Also in figure PQRS

< PQS + PSQ = 180(supplementary angle)

< PQS = 180 - 145 = 35

In \(\bigtriangleup\)PRQ x = 180 - 935 = 90)

x = 55
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