Question

How many sides does a regular polygon have if the measure of an exterior angle is 60 degree?​

Answer 1

Answer:

6 sides

Step-by-step explanation:

360 divide by 60 is equal to 6

Answer 2

Answer:

sum of all exterior angle in regular polygon is equal to 360 degrees.

Mathematically one can interpret above statement as follow,

exterior angle 1 + exterior angle 2 + exterior angle 3 + ……… exterior angle n= 360 .

on the other hand the exterior angle of a regular polygon are same in measures,

Exterior angle 1 = Exterior angle 2 = Exterior angle n.

After substitution,

exterior angle 1 + exterior angle 1 + exterior angle 1 + ……… exterior angle 1= 360 .

n(number of exterior angle) * exterior angle = 360

n*60=360 => n=6.

n(number of sides) = 6.

I hope you get my point.

Step-by-step explanation: