Question

What is the sum of the interior angles of a regular 17-sided figure.

Answer 1

To find the sum of the interior angles of a regular polygon with \( n \) sides, we can use the formula:

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

For a regular 17-sided figure, we have \( n = 17 \):

\[
\text{Sum of interior angles} = (17 - 2) \times 180
\]

Calculating the values inside the parentheses:

\[
17 - 2 = 15
\]

Now, multiplying by 180:

\[
\text{Sum of interior angles} = 15 \times 180
\]

Calculating \( 15 \times 180 \):

\[
15 \times 180 = 2700
\]

Thus, the sum of the interior angles of a regular 17-sided figure is

\[
\boxed{2700}
\] degrees.