-
If the sum of the interior angles of a regular polygon be 1080°, the number of sides of the polygon is
-
- 6
- 8
- 10
- 12
- 6
Correct Option: B
Given , The sum of the interior angles of a regular polygon = 1080°
Sum of the interior angles of a regular polygon of n sides = (2n – 4) × 90°
∴ (2n – 4) × 90° = 1080°
⇒ 2n – 4 = 1080 ÷ 90 = 12
⇒ 2n = 12 + 4 = 16
∴ n = 8
