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In the diagram, O is the centre of the circle and < PQR = 106º,...

Mathematics
WAEC 2007

In the diagram, O is the centre of the circle and < PQR = 106º, find the value of y

  • A. 16
  • B. 37
  • C. 74
  • D. 127
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Correct Answer: Option C
Explanation

2y + Reflex angle = 360

Reflex angle = 360 - 2y

360 - 2y = 2(106)(angles at a centre = 2ce < of circum.)

360 - 212 = 2y

148 = 2y

y \(\frac{148}{2}\)

y = 74o


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