Find the measure of each exterior angle of a regular polygon of

(i) 9 sides


(ii) 15 sides

(i) Since, 9 sides of polygon has 9 angles

And we know that:


Sum of all exterior angles of a polygon = 360o


Each exterior angle of a regular polygon has the same measure


Therefore,


Measure of each exterior angle of a regular polygon of 9 sides =


= 40o


(ii) Sum of all exterior angles of the given polygon = 360o


Each exterior angle of a regular polygon has the equal measure


Thus, measure of each exterior angle of a regular polygon of 15 sides =


= 24o


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