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Answer :
(i) We know that the measure of each exterior angle of a regular polygon = \(\frac{360^{\circ}}{n}\)
So, the measure of each exterior angle of 9 sided regular polygon =\( \frac { 360 }{ 9 } = 40^{\circ}\)
(ii) Similarly,the measure of each exterior angle of a regular polygon = \(\frac{360^{\circ}}n\)
So, the measure of each angle of 15 sided regular polygon =\(\frac { 360 }{ 15 } = 24^{\circ}\)