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MATHEMATICS

JAMB 2004 - Question 26

Mathematics 2004 JAMB Past Questions - Question 26: P,R and S lie on a circle centre O as shown above ,while Q lies outside the circle .Find

Choose the most appropriate option for the gap .

P,R and S lie on a circle centre O as shown above ,while Q lies outside the circle .Find

A: 35

B: 40

C: 45

D: 55

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Correct Answer

Explanation

˂QRP = 180° - (20° + 35°) = 180° - 55° = 125°PRS = 180° - ˂QRP = 180° - 125° = 55°˂POS = 2 ˂PRS(angle at centre = 2 angle at circle )= 2 (55°) = 110° ; ˂POS = ˂OPS˂PSO + ˂OPS + ˂POS = 180°2˂POS = 180° - ˂POS = 180° - 110°˂POS = 70°/2 = 35°