In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon.

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon.

Answer Details

2x + x = 180°, => 3x = 180°, and thus x = 60°
Each exterior angle = 60° but size of ext. angle = 360°/n
Therefore 60° = 360°/n
n = 360°/60° = 6 sides