https://file.aiquickdraw.com/mathbot/file/17296094634197ty45538.jpg

The question asks for the sum of the interior angles of a **dodecagon** (a 12-sided polygon). 

The formula to find the sum of the interior angles of any polygon is:

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

Where \(n\) is the number of sides.

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

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

So, the correct answer is:

**D. 1800°**

Would you like more details or have any questions?

Here are 5 related questions to expand on this:
1. What is the formula to find the measure of each interior angle in a regular polygon?
2. How do we calculate the sum of the exterior angles of a polygon?
3. What is the difference between regular and irregular polygons?
4. Can we apply the same formula to concave polygons?
5. How would you find the sum of the angles in a 20-sided polygon?

**Tip**: The sum of the exterior angles of any polygon, no matter how many sides, always adds up to \(360^\circ\).

What is the sum of the measures of the interior angles of a dodecagon?

Understand how to find the sum of the interior angles of a dodecagon (12-sided polygon). This geometry problem applies the Polygon Interior Angle Theorem and uses the formula (n - 2) × 180°. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation