Question

The difference between the interior and exterior angle of a regular polygon is 60 degrees. Then find the number of sides of that polygon

Answer 1

Answer:

let the polygon be x

therefore it s sum will be (2n-4)*90

hence it will be (2*5-4)*90

6*90

540.

Answer 2

Answer:

Let interior angle be 1 and exterior angle be E.

We know that,

∴I+E=180

∘

.....(1)

Given that,

I−E=60

∘

....(2)

On solving (1) and (2), we get I=120

∘

and E=60

∘

∴ Number of sides =360

∘

/60

∘

=6.