How many sides does an equiangular polygon have

Question

if each exterior angle measures 40 degrees

Answer 1

The supplement of the exterior angle is the measure of the interior angle so EACH interior angle measures 140^o.

 

You should know that if it's an n-gon, the total of all its interior angles is 180(n - 2) degrees.

 

So, solve this equation: 140n = 180(n-2) to find how many sides  this regular polygon has (n).