Question 1122221
the polygon has 6 sides.


the sum of the exterior angles of a polygon is always 360 degrees.


the sum of the interior angles of a polygon is equal to 180 * (n - 2).


n is equal to the number of sides of the polygon.


if the sum of the interior angles is twice the sum of the exterior angles, then the sum of the interior angles has to be 720 degrees.


720 = 180 * (n - 2)
divide both sides of this equation by 180 to get 720/180 = n - 2
simplify to get 4 = n - 2
solve for n to get n = 6