Question

Which of the following can never be the measure of exterior angle of a regular polygon? 

(a) 22° (b) 36° (c)45° (d) 30°

Answer 1

(a) 22°

Since, we know that, the sum of measures of exterior angles of a polygon is 360°, i.e. measure of each exterior angle =360°/n ,where n is the number of sides/angles.

Thus, measure of each exterior angle will always divide 360° completely.

Hence, 22° can never be the measure of exterior angle of a regular polygon.