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MATHEMATICS

JAMB 2006 - Question 32

Mathematics 2006 JAMB Past Questions - Question 32: In the diagram above POQ a diameter of the circle PQRS.if

Choose the most appropriate option for the gap .

In the diagram above POQ a diameter of the circle PQRS.if

A: 55

B: 45

C: 35

D: 25

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Correct Answer

Explanation

Construct RQ< PRQ = 90 (angle substended at the circumference of a circle by diameter). Also in figure PQRStherefore < PQS + PSQ = 180 (supplementary angle)therefore in PRQ therefore x = 180 - (35+90), x = 55