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The ratio between the interior angle and the exterior angle of a regular polygon is 2 : 1. Find each exterior angle of the polygon.
1. 60° 
2. 120° 
3. 30° 
4. 50° 

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Correct Answer - Option 1 : 60° 

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° 

⇒ Each interior angle = 120° 

⇒ Each exterior angle = 60° 

∴ Each exterior angle = 60°

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