To find the measure of each exterior angle of a regular 15-gon:
Using the sum of exterior angle formula,
Each exterior angle of a regular polygon of n sides is given by,
[tex]\frac{360^{\circ}}{n}[/tex]
Substitute n=15 we get,
[tex]\frac{360^{\circ}}{15}=24^{\circ}[/tex]
Thus, the measure of each exterior angle of a regular 15-gon is 24 degrees.
