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There are two regular polygons with number of sides equal to (n – 1) and (n + 2). Their exterior angles differ by 6°. The value of n is
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- 14
- 12
- 13
- 11
- 14
Correct Option: C
According to question ,
| - | = 6° | ||
| (n - 1) | (n + 2) |
| ⇒ 360° |  |  | = 6° | |
| (n - 1)(n + 2) |
⇒ (n – 1) (n + 2) = 180°
n² + n – 2 = 180
n² + n – 182° = 0
n² + 14n – 13n – 182 = 0
n(n + 14) – 13 (n + 14) = 0
(n + 14) (n – 13) = 0
n = 13, – 14 [ ∴ n ≠ –14]
