Nonagon

A nonagon is a polygon with nine sides and nine angles. The sum of the interior angles of a nonagon is always 1260 degrees. Each angle of a regular nonagon measures 140 degrees.

Properties of a Nonagon:

1. A nonagon has 9 sides and 9 angles.
2. The sum of the interior angles of a nonagon is 1260 degrees.
3. Each angle of a regular nonagon measures 140 degrees.
4. A nonagon can be regular or irregular.

Formulas for Nonagon:

1. Sum of interior angles of a nonagon: Sum = (n-2) * 180 where n is the number of sides.

2. The measure of each interior angle of a regular nonagon: Measure = Sum / n

Examples of Nonagon:

Example 1: Find the sum of the interior angles of a nonagon.

Solution: Using the formula, Sum = (9-2) * 180 = 7 * 180 = 1260 degrees.

Example 2: Find the measure of each interior angle of a regular nonagon.

Solution: Using the formula, Measure = 1260 / 9 = 140 degrees.

Practice Problems:

1. Find the sum of the interior angles of a nonagon with 9 sides.

2. Find the measure of each interior angle of a regular nonagon.

3. Draw a nonagon and label its sides and angles.

Remember to use the formulas and properties of nonagon to solve the practice problems.

Hope this study guide helps you understand the concept of nonagon better! Let me know if you have any more questions.