What is the ratio of interior angle to exterior angle of a regular polygon of n sides?
- A. n
- B. \frac{n-1}{2}
- C. \frac{n-2}{2} ✓
- D. \frac{2(n-2)}{3}
Correct Answer: C. \frac{n-2}{2}
Explanation
The interior angle of a regular polygon is \frac{(n-2) \times 180^\circ}{n} and the exterior angle is \frac{360^\circ}{n}. Their ratio is \frac{(n-2) \times 180^\circ / n}{360^\circ / n} = \frac{n-2}{2}.
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