Question

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

Answer 1

Answer:

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