Question

find the measure of an exterior angle of each regular polygon.24- gon

Answer 1

To be able to find the exterior angle of a 24-gon or a polygon with 24 sides, we will be using the formula below:

$\text{ }\Theta_{Exterior}=\text{ }\frac{360}{n}$

Where,

n = number of sides

We get,

$\text{ }\Theta_{Exterior}=\text{ }\frac{360}{n}$$\text{ = }\frac{360}{24}$$\text{ }\Theta_{Exterior}=\text{ }15^{\circ}$

Therefore, the measure of each exterior angle of a 24-gon is 15°.