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The measure of an exterior angle is 22°
Regular polygon has all exterior angles equal.
Sum of exterior angles of a polygon =
Let number of sides be X.
Sum of exterior angles of a polygon =
Exterior angles of 15 sided polygon
Hence,side of a polygon should be an integer but as shown above side is not a integer.So,it is not possible to have a regular polygon with measure of each exterior angle as 22
.