If the measure of one exterior angle of a regular polygon is 156 degrees, how many sides does the polygon have?

15 sides

Step-by-step explanation:

with regular polygons it is best to work with the exterior angles since the sum of exterior angles is 360 degrees

one exterior angle = 180 - one interior angle

∴ one ext. < = 180 - 156 = 24 degrees

no of sides = 360 / 24 = 15 s i d e s