The ratio between the interior angle and the exterior angle of a regul

1.	The ratio between the interior angle and the exterior angle of a regular polygon is 2 : 1. Find the number of sides in the polygon.1. 62. 73. 54. 8
Answer» 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

The ratio between the interior angle and the exterior angle of a regular polygon is 2 : 1. Find the number of sides in the polygon.1. 62. 73. 54. 8

Answer» 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