Question

Each interior angle of a regular polygon is double of its exterior angle .Find the number nof sides in the polygon​

Answer 1

Answer

Let exterior angle be x.

Then the interior angle will be double to the exterior angle = 2x.

x + 2x = 180

 then 3x = 180

 and x = 60.

So exterior angle is 60

Size of an exterior angle for a regular polygon = 360/n

 = 360/60

= 6.

number of sides in the polygon = 6.