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Find the measure of each exterior angle of a regular polygon of 15 sides

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

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Sum of angles a regular polygon having side 15 = (15-2)×180° = 13×180° = 2340°
Each interior angle = 2340/15 = 156°
Each exterior angle = 180° - 156° = 24°
Or,
Each exterior angle = sum of exterior angles/Number of angles = 360/15 = 24°

Thanks

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