it is possible to have a regular polygon with measure of each exterior angle as 22 degree
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Since, answer is not a whole number, thus, a regular polygon with measure of each interior angle as 22⁰ is not possible. ... This can also be proved by another principle; which states that each exterior angle of a regular polygon is equal to 360 divided by number of sides in the polygon. If 360 is divided by 3, we get 120.
Since, number of sides of a polygon = 360°/each exterior angle
Hence, number of sides of given polygon
=
360°÷22°=16.36
Since, answer is not a whole number, thus, a regular polygon with measure of each exterior angle as 22⁰ is not possible.
Hence, Answer = no
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