Book: NCERT - Mathematics
Chapter: 3. Understanding Quadrilaterals
Subject: Maths - Class 8th
Q. No. 2 of Exercises 3.2
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2
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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