if a regular polygon has 24 sides, what is the measure of each exterior angle of the polygon?

For a regular polygon with 24 sides, the measure of each exterior angle is found using the formula:

Exterior angle=360∘number of sides\text{Exterior angle}=\frac{360^\circ}{\text{number of sides}}Exterior angle=number of sides360∘​

Substituting 24 for the number of sides:

Exterior angle=360∘24=15∘\text{Exterior angle}=\frac{360^\circ}{24}=15^\circ Exterior angle=24360∘​=15∘

Therefore, each exterior angle of a regular 24-sided polygon measures 15 degrees