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3 years ago

How many sides does a regular (equal sides and equal angles) polygon have if each exterior angle measures 24°? # of sides =?

1 answer:

5 0

If the measure of each exterior angle is 24, the measure of each interior angle is then 180-24=156
the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides
(n-2)*180=156*n
180n-360=156n
24n=360
n=15
the polygon has 15 sides

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