Each exterior angle of a regular polygon measures 20. How many sides does the polygon have?

1 Answer
EZ as pi
Dec 13, 2016

18 sides

Explanation:

A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°.

For a regular polygon, the size of each exterior angle, theta can be found from:

theta = (360°)/n" "larr where n = number of sides

Using this property, if you know the size of the exterior angle, you can find the number of sides.

n = (360°)/(20°)

=18 sides

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