The sum of the interior angles of a regular polygon is twice the sum of the exterior angles. Find the number of sides of the polygon.

Let n be the number of sides of the given polygon.

As we know, the sum of all interior angles of a regular polygon = (n − 2)×180^o 

And, the sum of the measures of the external angles of any polygon is 360^o.

Therefore, according to the question,

(n − 2)×180^o = 2×360^o

⇒ n − 2 = 4

⇒ n = 6

Therefore, the number of sides of the given polygon is 6.