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
waec 1991mathematics

The correct answer is D. 8

Let x be the exterior angle; interior = 3x; but x + 3x = 180o

4x = 180o; x = 45

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

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