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{ }(360)/(n)`

Where,

n = number of sides

We get,

`\text{ }\Theta_(Exterior)=\text{ }(360)/(n)`
`\text{ = }(360)/(24)`
`\text{ }\Theta_(Exterior)=\text{ }15^(\circ)`

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