What is the sum of the interior angles of a hexagon?

To determine the sum of the interior angles of a hexagon, you can use the formula for finding the sum of the interior angles of any polygon, which is given by the formula ( (n - 2) \times 180 ), where ( n ) is the number of sides in the polygon.

For a hexagon, which has 6 sides, you would substitute ( n = 6 ) into the formula:

[

(6 - 2) \times 180 = 4 \times 180 = 720 \text{ degrees}

]

This calculation shows that the sum of the interior angles of a hexagon is 720 degrees. This means all the angles inside a hexagon, when added together, will equal 720 degrees. Understanding this formula is vital as it can be applied to any polygon by simply changing the number of sides.