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In a given regular polygon, the ratio of the exterior angle to the interior angles...

Mathematics
WAEC 1991
In a given regular polygon, the ratio of the exterior angle to the interior angles is 1:3. How many side has the polygon?
  • A. 40
  • B. 5
  • C. 6
  • D. 8
  • E. 12
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Correct Answer: Option D
Explanation
Let x be the exterior angle; interior = 3x; but x + 3x = 180o

4x = 180o; x = 45

= \(\frac{360}{45}\) = 8
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