Question

The exterior angle of a regular polygons is one-third of its interior angle. How many sides has the polygon ​

Answer 1

Step-by-step explanation:

let interior angle of a polygon = x

exterior angle = 1/3 x

we know that sum of interior and exterior angle of polygon =180

x+1/3 x =180

4x/3=180

x= 45* 3

x=135

exterior =45

number of sides =360/exterior

sides=360 /45

8