Is it possible to have a regular polygon with measure of each exterior angle as 22°?

We know that the sum of all exterior angles of all polygons is 360o.

And, in a regular polygon, each exterior angle is of the same measure.


Therefore, if 360o is a perfect multiple of the given exterior angle, then the given polygon will be possible


Exterior angle = 22°


360o is not a perfect multiple of 22o.


Hence, such polygon is not possible


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