Question

determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5​

Answer 1

Let the exterior angle be x

and. the interior angle be 5x

Now x+5x=180

6x=180

x=180/6

x=30

exterior angle =30

interior angle =5×30

=150

No.of idea of polygon = 360 /exterior

=360/30

=12