Question

Find the sum of the interior angles of a hendecagon (11-sided polygon).

(1 point)
The sum of the interior angles of a hendecagon is
°
.

Answer 1

The sum of the interior angles of a polygon can be calculated using the formula:

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

where \( n \) is the number of sides in the polygon.

For a hendecagon, \( n = 11 \):

\[
\text{Sum of interior angles} = (11 - 2) \times 180° = 9 \times 180°
\]

Now, calculate \( 9 \times 180 \):

\[
9 \times 180 = 1620°
\]

Therefore, the sum of the interior angles of a hendecagon is \( \boxed{1620} \) degrees.