Find the measure of each exterior angle of a regular polygon of: (a) 9 sides (b) 15 sides

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asked Dec 25, 2017 in Mathematics by Golu (37,045 points) 19 169 606

Find the measure of each exterior angle of a regular polygon of:
(a) 9 sides (b) 15 sides

1 Answer

+1 vote
answered Dec 25, 2017 by anukriti (13,536 points) 5 10 42
selected Dec 25, 2017 by Golu
 
Best answer

(i) 9 sides

Solution: Since, 9 sides of a polygon has nine angles
And we know that sum of exterior angles of a polygon = 360⁰
So, 9 exterior angles = 360°
Or, 1 exterior angle = 360°/9 = 40°

(ii) 15 sides

Solution: Since, 15 sides of a polygon has 15 angles
And we know that sum of exterior angles of a polygon = 360⁰
So, 15 exterior angles = 360°
Or, 1 exterior angle = 360°/15 = 24°

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