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Question
Is it possible to have a regular polygon with measure of each exterior angle as 22°?
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Solution
The sum of all exterior angles of all polygons is 360º. Also, in a regular polygon, each exterior angle is of the same measure. Hence, if 360º is a perfect multiple of the given exterior angle, then the given polygon will be possible
Exterior angle = 22º
360º is not a perfect multiple of 22º. Hence, such polygon is not possible.
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