The ratio between exterior angle and interior angle of a regular polygon is 1 : 5. Find the number of sides of the polygon.
12
Suppose exterior angle of a polygon = x
And interior angle = 5x
∴ The sum of both exterior and interior angle is 180°.
⇒x+5x=180
⇒6x=180
⇒x=1806=30°
∴ Exterior angle of a polygon = 30°
∴ The number of sides of the
Polygon =360∘Exterior angle of a polygon
=360∘30∘=12