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

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Answer 1 · 2016-10-29T16:36:04

The polygon has $15$ sides.

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.