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Understanding Quadrilaterals
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06/08/2021 12:28 pm
Topic starter
Find the measure of each exterior angle of a regular polygon of
(i) 9 sides (ii) 15 sides
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06/08/2021 12:47 pm
Sum of angles a regular polygon having side n = (n-2) × 180°
(i) Sum of angles a regular polygon having side 9
= (9-2) × 180°= 7 × 180° = 1260°
Each interior angle=1260/9 = 140°
Each exterior angle = 180° – 140° = 40°
Each exterior angle = sum of exterior angles/Number of angles
= 360/9 = 40°
(ii) 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°