what is the measure of one interior angle of a regular 12-gon
The formula to find the measure of one interior angle of a regular polygon is:
Interior Angle = (n-2) * 180 / n
Where:
n = number of sides of the polygon
Using this formula, we can calculate the measure of one interior angle of a regular 12-gon:
Interior Angle = (12-2) * 180 / 12
Interior Angle = 10 * 180 / 12
Interior Angle = 1800 / 12
Interior Angle = 150 degrees
So, the measure of one interior angle of a regular 12-gon is 150 degrees.
To find the measure of one interior angle of a regular polygon, you can use the formula:
Interior Angle = (n-2) * 180 / n
In this case, n represents the number of sides of the polygon, which is 12 for a regular 12-gon.
Using the formula:
Interior Angle = (12-2) * 180 / 12
Interior Angle = 10 * 180 / 12
Interior Angle = 1800 / 12
Interior Angle = 150
Therefore, the measure of one interior angle of a regular 12-gon is 150 degrees.
To calculate the measure of one interior angle of a regular polygon, you need to divide the sum of all interior angles by the number of sides.
A regular polygon with n sides has a sum of interior angles equal to (n-2) * 180 degrees. So, for a regular 12-gon, we can calculate the measure of one interior angle as follows:
Number of sides (n) = 12
Sum of interior angles = (n-2) * 180
= (12-2) * 180
= 10 * 180
= 1800 degrees
Now, to find the measure of one interior angle, we divide the sum of interior angles by the number of sides:
Measure of one interior angle = Sum of interior angles / Number of sides
= 1800 / 12
= 150 degrees
Therefore, the measure of one interior angle of a regular 12-gon is 150 degrees.