Find the measure of each interior angle of a regular polygon having
(i) 10 sides (ii) 15 sides.
(i) In Regular Polygon of 10 sides, all sides are of same size and measure of all interior angles are same.
The sum of interior angles of polygon of 10 sides is
(n – 2) × 180° [n is number of sides of polygon)]
(10 – 2) X 180°= 1440°.
Each interior angle = 1440/10
= 1440
(ii) In Regular Polygon of 15 sides, all sides are of same size and measure of all interior angles are same.
The sum of interior angles of polygon of 10 sides is
(n – 2) × 180° [n is number of sides of polygon)]
(15 – 2) X 180°= 2340°.
Each interior angle = 2340/15
= 156°