Question

The measure of each exterior angle of a regular polygon is 60 degree,find the number of the polygon and hence the measure of each interior angle

Answer 1

Answer:

ans is 0

Step-by-step explanation:

but polygon is 60 degree

Answer 2

Answer:

Here is your answer

Step-by-step explanation:

Let the number of sides of the polygon be 

nn

. It is given that the measure of each exterior angle of the polygon is 

60∘60∘

.

Using the formula, Number of sides 

××

 Measure of each exterior angle

=360∘=360∘

, we get

 

n×60∘=360∘n×60∘=360∘

Dividing both sides by 

60∘60∘

, we get

⇒n×60∘60∘=360∘60∘⇒n×60∘60∘=360∘60∘

⇒n=6⇒n=6

∴∴ The number of sides of a polygon with each exterior angle 

60∘60∘

 is 6.