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,
![(360^(\circ))/(n)](https://img.qammunity.org/2023/formulas/mathematics/college/3d4tj61ub7985cg41g17hivdn6qrukr4sj.png)
Substitute n=15 we get,
![(360^(\circ))/(15)=24^(\circ)](https://img.qammunity.org/2023/formulas/mathematics/college/i9w35lerbls95n5ukyiogd3kn5ingzwm98.png)
Thus, the measure of each exterior angle of a regular 15-gon is 24 degrees.