Correct Answer - Option 1 : 6
Given
The ratio between the interior angle and the exterior angle of a regular polygon is 2 : 1
Concept
Exterior angle + interior angle = 180°
Side of polygon = (360°/Exterior angle)
Calculation
Let ratio of angles in x
⇒ The ratio between the interior angle and the exterior angle of a regular polygon is = 2x : x
⇒ 2x + x = 180°
⇒ 3x = 180°
⇒ x = (180°/3)
⇒ x = 60°
⇒ Interior angle = 120°
⇒ Exterior angle = 60°
⇒ Side of polygon = (360°/60°)
⇒ Side of polygon = 6
∴ Side of polygon = 6