when do you use the following formula:
(n-2)180 divided by n
it gives you the size of the interior angles of a regular polygon of n sides
The formula you mentioned, (n-2)180 divided by n, is used to find the measure of each interior angle in a regular polygon.
To explain how to use the formula, let's break it down step by step:
1. Identify the value of "n": "n" represents the number of sides in the regular polygon. For example, if you have a hexagon (a polygon with 6 sides), "n" would be equal to 6.
2. Substitute the value of "n" into the formula: Take the value of "n" and replace it in the formula. For example, if "n" is 6, the formula would become (6-2)180 divided by 6.
3. Simplify the equation: In this step, perform the arithmetic operations to simplify the equation. Continuing the previous example, (6-2)180 divided by 6 would simplify to (4)180 divided by 6.
4. Calculate the result: Now, evaluate the expression to find the measure of each interior angle. Using the previous example, (4)180 divided by 6 would give you a result of 120 degrees.
So, to sum it up, you use the formula (n-2)180 divided by n to find the measure of each interior angle in a regular polygon by substituting the number of sides (n) into the equation.