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

To determine the sum of the interior angles of a hexagon, we can use the formula for the sum of interior angles of any polygon, which is given by the formula:

[ \text{Sum of interior angles} = (n - 2) \times 180^\circ

]

where ( n ) is the number of sides in the polygon. For a hexagon, ( n = 6 ).

Substituting 6 into the formula, we get:

[ \text{Sum of interior angles} = (6 - 2) \times 180^\circ = 4 \times 180^\circ = 720^\circ ]

Thus, the sum of the interior angles of a hexagon is 720 degrees. This means that when you add together all the angles inside a hexagon, no matter the shape or type of hexagon, they will always total 720 degrees.