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NECO Mathematics 2007 Objective — Question 43

Question 43 of 60 from the National Examinations Council (NECO) Mathematics 2007 Objective paper, with the correct answer and a full explanation.

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In Fig 3.3, O is the centre of the circle and the angle at the circumference is 127 degrees. Find the value of y (angle at centre).

  • A. 53 degrees
  • B. 106 degreesCorrect
  • C. 127 degrees

Explanation

127+alpha=180 (angles on a straight line), so alpha=53 degrees. y = 2 x alpha (angle at centre is twice the angle at circumference) = 106 degrees.

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