The exterior angle of a regular polygon is equal to one third of the interior angle. calculate the number of sides of the polygon and give its name

The angle in a regular polygon is ((n-2) * 180) / n with n being the number of sides. The exterior angles would be (360) / n since exterior angles add up to 360. Therefore, (360) / n = (((n-2) * 180) / n) * 1/3. Multiplying both sides by n, we get 360 = ((n-2) * 180) * 1/3. After that, we divide both sides by 180 and multiply both sides by 3 to get 6=n-2. Therefore, n=8 and it is an octagon