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.