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
Correct Answer: D. 8
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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