Find the sum of the angle measures of a hexagon. The sum is $$ \square $$ degrees.

Question

UpStudy AI · Accepted Answer

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

$$
S = (n - 2) \times 180
$$

where $$ n $$ is the number of sides in the polygon.

For a hexagon, $$ n = 6 $$.

Now, we can substitute $$ n $$ into the formula:

$$
S = (6 - 2) \times 180
$$

Calculating this step by step:

1. Calculate $$ 6 - 2 $$:
   $$
   6 - 2 = 4
   $$

2. Multiply by 180:
   $$
   4 \times 180 = 720
   $$

Thus, the sum of the angle measures of a hexagon is $$ 720 $$ degrees.

Therefore, the answer is:

$$
\boxed{720}
$$ degrees.
The sum of the angle measures of a hexagon is 720 degrees.

Find the sum of the angle measures of a hexagon. The sum is \( \square \) degrees.