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In the diagram PQ is a diameter of circle PMQN center O, if ∠PQM =...

Mathematics
WAEC 1998

In the diagram PQ is a diameter of circle PMQN center O, if ∠PQM = 63o, find ∠MNQ

  • A. 58.5o
  • B. 44o
  • C. 35o
  • D. 31.5o
  • E. 27o
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Correct Answer: Option E
Explanation

In the given diagram,

< PMQ = 90º (<  in a semi-circle)

<QPM = 180º - ( 90 + 63 )º =  27º

Therefore, <MNQ = <QPM = 27º ( <s in same segment)

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