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The sum of interior angles of a regular polygon is 1440°. The number of sides of the polygon is
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- 10
- 12
- 6
- 8
- 10
Correct Option: A
If the number of sides of regular polygon be n, then
The sum of interior angles of a regular polygon = 1440°
⇒ (2n – 4) × 90° = 1440°
⇒ 2n - 4 = | = 16 | |
90 |
⇒ 2n – 4 = 16
⇒ 2n = 20
⇒ n = 10