https://file.aiquickdraw.com/mathbot/file/1729632064089nubz1uae.jpg

The image shows a polygon, and the question asks for the sum of the interior angles of the polygon.

By counting the sides of the polygon, it appears to be a **12-sided polygon** (a **dodecagon**).

The formula to find the sum of the interior angles of a polygon with \( n \) sides is:

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

For a dodecagon (\( n = 12 \)):

\[
\text{Sum of interior angles} = (12 - 2) \times 180^\circ = 10 \times 180^\circ = 1800^\circ
\]

So, the sum of the interior angles is **1800 degrees**.

Would you like further details or have any other questions? Here are 5 related questions to expand on this:

1. How do you calculate the measure of each interior angle of a regular dodecagon?
2. What is the formula for calculating the sum of exterior angles of any polygon?
3. How does the number of sides affect the sum of a polygon's interior angles?
4. How would the formula change if the polygon were non-convex?
5. What is the relationship between the number of sides and the number of diagonals in a polygon?

**Tip**: Always double-check the number of sides of a polygon before applying formulas, as visual estimates can sometimes be tricky!

What is the sum of the interior angles of the polygon pictured below?

Discover how to find the sum of the interior angles of a 12-sided polygon (dodecagon). Using the formula (n-2) * 180°, the sum is calculated as 1800°. Ideal for Grades 6-8 students learning polygon properties.

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