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The sum of all interior angles of a regular polygon is twice the sum of all its exterior angles. The number of sides of the polygon is
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- 10
- 8
- 12
- 6
- 10
Correct Option: D
As we know that , Sum of interior angles = (2n – 4) × 90°
Sum of exterior angles = 360°
As per the given question ,
∴ (2n – 4) × 90° = 360° × 2
⇒ 2n – 4 = 2 × 360° ÷ 90 = 8
⇒ 2n – 4 = 8
⇒ 2n = 12 ⇒ n = 6
