Question

Find the sum of exterior angle obtained on producing, in order, the side of a polygon with : 10 sides

Answer 1

No. of sides n = 10

Sum of interior & exterior angles at one vertex = 180°

Sum of all interior & exterior angles = 10 × 180° = 1800°

Sum of interior angles = (n - 2) × 180°

= (10 - 2) × 180°

= 1440°

∴ Sum of exterior angles = 1800° - 1440° = 360°