Question

Ratio of each exterior and interior angle of a regular polygon is 1:2 , then find the number of sides of the polygon.

Answer 1

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

Let interior angle = 2x°

Exteriro angle = x°

2x° + x° =180°

3x° = 180° = x = 180° /3 = 60°

(ii) x =60

Each exteriro angle = 60°

360° /n = 60°

n = 6 sides