How many sides does a regular polygon have if the measure of an exterior angle is 24°?

Question

How many sides does a regular polygon have if the measure of an exterior angle is 24&#xB0;?

Philoid · Accepted Answer

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

Measure of each exterior angle = 24^o

Therefore,

Number of sides of the regular polygon

=

= 15^o