Question

Find the number of sides of a regular polygon whose each exterior angle has a measure of 60 degree​

Answer 1

Answer:

Step-by-step explanation:

Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon. For example, if the measurement of the exterior angle is 60 degrees, then dividing 360 by 60 yields 6. Six is the number of sides that the polygon has.

Answer 2

Given : A regular polygon whose each exterior angle has a measure of 60°

To find : The number of sides.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the number of sides of the given regular polygon)

Let, the regular polygon has n number of sides.

Sum of all exterior angles of a regular polygon = 360°

Number of exterior angles of the regular polygon = Number of sides of the regular polygon = n

So,

Each exterior angle of that regular polygon = (360°/n)

(All the exterior angles are equal in case of a regular polygon.)

According to the data mentioned in the question,

360/n = 60

n × 60 = 360

n = 360/60

n = 6

So, the number of sides of the given regular polygon = n = 6

(This will be considered as the final result.)

Hence, the number of sides of the given regular polygon is 6