Question

find the number of sides in a regular polygon if its interior angle is equal to its exterior angle

Answer 1

According to given sum,

let the number of sides of the regular polygon be n.

Then the interior angles of the polygon is (n-2)180/n

The exterior angle will be 360/n.

From the question,

Interior angle = exterior angle .

$= > \: \frac{(n - 2)180}{n} = \frac{360}{n}$

=> (n-2)180=360

=> (n-2)=2

=> n= 4

so, the number of sides of the polygon will be 4 .

:-)Hope it helps u.