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 = 360^o

Each exterior angle of a regular polygon has the same measure

Therefore,

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

= 40^o

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

Each exterior angle of a regular polygon has the equal measure

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

= 24^o