Nonagon

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

Properties of a Nonagon:

1. A nonagon has nine sides.
2. A nonagon has nine angles.
3. The sum of the interior angles of a nonagon is 1260 degrees.
4. Each interior angle of a regular nonagon measures 140 degrees.
5. The exterior angles of a nonagon add up to 360 degrees.

Formulas for Nonagon:

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

Measure of each interior angle of a regular nonagon: Measure = Sum / n

Sum of exterior angles of a nonagon: Sum = 360 degrees

Example Problems:

Example 1: Calculate 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 measure of each interior angle of a regular nonagon.

2. Calculate the sum of the interior angles of a nonagon with 9 sides.

3. If one interior angle of a nonagon is 150 degrees, find the measure of its exterior angle.