Question

The exterior angle of a regular polygon and its adjacent interior

angle are in the ratio 3:2. Find the number of sides in the polygon.​

Answer 1

Answer:

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