How many sides do

We know that, sum of all exterior angles of the given polygon = 360^o

Measure of each exterior angle = 24^o


Measure of each exterior angle of a regular polygon = 360º/n

where, n = number of sides of polygon

From the given,

24° = 360° / n


n = 15

So there are 15 sides of the polygon with 24° as each exterior angle.