The difference between the sum of the measures of the interior angles in an octagon and the sum of the measures of the interior angles in a hexagon is 360°.
Interior angle refers to the angle inside a polygon that is formed by two of its adjacent sides. The sum of the measures of the interior angles of a polygon is given by the equation:
180°(n - 2)
where n is the number of sides
An octagon is a polygon that has 8 vertices and 8 sides. The sum of the measures of the interior angles of an octagon is:
180°8 - 2) = 180°6) = 1080°
On the other hand, a hexagon is a polygon that has 6 vertices and 6 sides. The sum of the measures of the interior angles of an octagon is:
180°6 - 2) = 180°4) = 720°
Subtracting the sum of the interior angles of the two polygons,
1080° - 720° = 360°