Question

The no.of sides of a regular polygon whose each exterior angle is 60is

Answer 1

Answer:

6 sides

Step-by-step explanation:

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

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