Question

The interior angle of a regular polygon is double the exterior angle. Find each interior angle, each exterior angle also the number of number of sides in the polygon.​

Answer 1

Answer:

Thus each interior=(6-2)180/6

4*30=120°

Exterior=360/6=60°

Step-by-step explanation:

Let there be n number of sides of the polygon

Then exterior angle=360/n

and the interior one is:

(n-2)*180/n

As per question

(n-2)*180/n=2*360/n

180n-360=720

180n=1080

n=1080/180=6

Thus each interior=(6-2)180/6

4*30=120°

Exterior=360/6=60°