Question

if difference between interior and exterior angles of a regular polygon is 60 find sides of polygon ​

Answer 1

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.