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12 October, 20:18

The measure of an exterior angle of a regular polygon is 40º. Find the number of sides of the polygon?

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  1. 12 October, 23:48
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    If e = measure of each exterior angle and n = number of sides, then

    n = 360/e

    In our case, we have e = 40, so,

    n = 360/e

    n = 360/40

    n = 9

    We have a nine sided regular polygon (also known as a regular nonagon)
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