Question

which of the following can never be the measure of the exterior angle of a regular polygon
a)22°
b)36°
c)45°
d)30°
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Answer 1

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.