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

Answers (1)

 The measure of an exterior angle is 22°

Regular polygon has all exterior angles equal.

Sum of exterior angles of a polygon = 360\degree

Let number of sides be X.

Sum of exterior angles of a polygon = X \ast 22\degree = 360\degree

Exterior angles of 15 sided polygon= X= 360\degree \div 22\degree  

                                                            X= 16.36

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\degree .

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