We can find the sum of the interior angles of a polygon with the following formula:
![(n-2)\cdot180](https://img.qammunity.org/2023/formulas/mathematics/college/upwuhj3ofuk9ltsljbscid1v15el6t6rmv.png)
where n is the number of sides.
Then, for a 16-gon, we have n=16 and the sum of interior angles is:
![(16-2)\cdot180=14\cdot180=2520\degree](https://img.qammunity.org/2023/formulas/mathematics/college/31fyfzl7rl2hsb7kvzvnkagw4rg1fn099x.png)
Answer: the sum of the interior angles of a 16-gon is 2520 degrees.