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The interior angle of a regular polygon is 140°. The number of sides of that polygon is
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- 9
- 8
- 7
- 6
- 9
Correct Option: A
| ∴ An interior angle of a regular polygon = | |
| n |
Where n = number of sides
Given , The interior angle of a regular polygon = 140
| ∴ | = 140 | |
| n |
⇒ 9 (2n – 4) = 14n
⇒ 18n – 36 = 14n
⇒ 18n – 14n = 36
⇒ 4n = 36
| ⇒ n = | = 9 | |
| 4 |
