Question

The ratio between the exterior angle and the corresponding interior angle of a regular polygon whose one interior angle is 30 degrees is

Answer 1

Answer:

The ratio between the exterior angle and interior angle of a regular polygon is 2:3.

Each interior angle of a

regular polygon = 180°(n-2) /n where n= number of side of polygon

Each exterior angle of a regular polygon =360°/n

According to question,

360°/n:180°(n-2)/=2:3

= 2/(n-2) =2÷3

= n-2=3

= n=5