In the diagram, O is the centre of the circle and POQ a diameter. If...

Mathematics

JAMB 1993

In the diagram, O is the centre of the circle and POQ a diameter. If POR = 96o, find the value of ORQ.

A. 84^o
B. 48^o
C. 45^o
D. 42^o

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Correct Answer: Option B

Explanation

OQ = OR = radii

< ROQ = 180 - 96 = 84º

\(\bigtriangleup\)OQR = Isosceles

R = Q

R + Q + 84 = 180(angle in a \(\bigtriangleup\))

2R = 96 since R = Q

R = 48º

ORQ = 48º

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In the diagram, O is the centre of the circle and POQ a diameter. If...

Correct Answer: Option B

Explanation

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