Question

How many sides a polygon have if each of its angles is 108

Answer 1

The answer given here is only for a regular polygon. Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees. So the number of sides is 360/72 = 5. Hence it is a regular pentagon.

Answer 2

each interior angle of a regular polygon is
$\frac{(n - 2) \times 180}{n} = 108$
solving for n, we get n=5. it's a regular Pentagon.