the side of each interior angle of a regular polygon is 156 degrees work out the number of sides of the polygon

This means the exterior angle is 180° - 156° = 24° 

 

If there are n sides to the regular polygon then n*exterior angle = 360° so here we have n*24 = 360 or n = 360/24 = 15.

 

It is a 15-sided polygon