find the measure of each interior angle of a regular 18 - gon.
Formula for getting an interior angle of a regular polygon with n sides:
I = 180(n-2)/n
Substituting,
I = 180(18-2)/18
I = 160 degrees
Hope this helps~ :3
To find the measure of each interior angle of a regular 18-gon, we can use the formula:
Interior Angle = (18 - 2) * 180° / 18
Let's break down the formula:
1. Start with the number of sides in the polygon: 18.
2. Subtract 2 from the number of sides: 18 - 2 = 16.
3. Multiply the result by 180°: 16 * 180° = 2880°.
4. Divide the product by the number of sides: 2880° / 18 = 160°.
Therefore, each interior angle of a regular 18-gon measures 160 degrees.
To find the measure of each interior angle of a regular polygon, you can use the formula:
Interior Angle = (n - 2) * 180 / n,
where n is the number of sides (or vertices) of the polygon.
In this case, the regular polygon is an 18-gon, so n = 18.
Let's plug it into the formula:
Interior Angle = (18 - 2) * 180 / 18
Simplifying the equation:
Interior Angle = 16 * 180 / 18
Interior Angle = 2880 / 18
Interior Angle = 160 degrees
Therefore, each interior angle of a regular 18-gon measures 160 degrees.