Question

If an exterior angle of a regular polygon measures 24°, how many sides does the polygon have?

Answer 1

The polygon has `15` sides.

Explanation:

The formula for finding the measure of an exterior angle of a regular polygon is

`360/n`, where `n` is the number of sides of the polygon. So,

`24 = 360/n`

`24(n) = n(360/n)`

`24n = 360`
`(24n)/24 = 360/24`

`n = 15`

So the polygon has `15` sides.