https://file.aiquickdraw.com/mathbot/file/17274389628042gxlmpxn.jpg

Let's analyze the polygon shown in the image:

### a) How many sides does it have?
Looking at the polygon, it has **6 sides**, meaning it is a **hexagon**.

### b) What is the sum of its interior angles?
To find the sum of the interior angles of any polygon, we can use the formula:
\[
\text{Sum of interior angles} = (n - 2) \times 180^\circ
\]
where \(n\) is the number of sides. For this hexagon:
\[
\text{Sum of interior angles} = (6 - 2) \times 180^\circ = 4 \times 180^\circ = 720^\circ
\]

Thus, the sum of the interior angles is **720°**.

Would you like further details or have any questions about this?

Here are 5 related questions to expand on this:

1. How do you calculate the interior angle of a regular polygon?
2. What is the measure of each interior angle of a regular hexagon?
3. How do you find the exterior angles of a polygon?
4. Can a polygon have curved sides, or must they always be straight?
5. What is the difference between a convex and a concave polygon?

**Tip:** When working with polygons, always count the sides carefully to apply the correct formulas for angles or other properties!

a) How many sides does it have?
b) What is the sum of its interior angles?

This math problem explores the hexagon, determining the number of sides and calculating the sum of its interior angles using the polygon angle sum theorem. Suitable for middle school students, Grades 6-8.

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