Question

What is the sum of the interior angle measures of a convex polygon with 13 sides?

Answer 1

To find the sum of the interior angle measures of a convex polygon with \( n \) sides, you can use the formula:

\[
S = (n - 2) \times 180^\circ
\]

In this case, we have a polygon with \( n = 13 \) sides. Plugging this value into the formula, we get:

\[
S = (13 - 2) \times 180^\circ
\]

Calculating \( 13 - 2 \):

\[
13 - 2 = 11
\]

Now, substituting this back into the equation:

\[
S = 11 \times 180^\circ
\]

Now perform the multiplication:

\[
S = 1980^\circ
\]

Thus, the sum of the interior angle measures of a convex polygon with 13 sides is

\[
\boxed{1980^\circ}
\]