We are asked to find the sum of the interior angles of the polygon shown in the image.

1. Problem Description

We are asked to find the sum of the interior angles of the polygon shown in the image.

2. Solution Steps

First, we need to determine the number of sides of the polygon. By counting the sides, we can see that the polygon has 11 sides. Therefore, it is an 11-gon (also called an hendecagon or undecagon).

The formula for the sum of the interior angles of a polygon with $n$ sides is given by:

$S = (n-2) \times 180^{\circ}$

In this case, $n = 11$, so we have:

$S = (11 - 2) \times 180^{\circ}$

$S = 9 \times 180^{\circ}$

$S = 1620^{\circ}$

3. Final Answer

The sum of the interior angles of the polygon is $1620^{\circ}$.