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

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