Question

the ratio between the interior angle and the exterior angle of a regular polygon is 2:1, find:
(i)each exterior angle of a polygon
(ii) number of sides in the polygon​

Answer 1

Step-by-step explanation:

(i) Interior angle : exterior angle = 2 : 1

∴ let interior angle = 2x°

And exterior angle = x°

∴ 2x° + x° = 180°

3x° = 180° = x = 180°/3 = 60°

(ii) x = 60°

∴ Each exterior angle = 60°

∴ 360°/n = 60°

n = 360°/60° = 6 sides