What is the measure in degrees of each interior angle in a regular 10 sided polygon?
To find the measure of each interior angle in a regular 10-sided polygon, you can use the formula:
Interior Angle = (180 * (n - 2)) / n
where "n" represents the number of sides of the polygon. In this case, n = 10.
Therefore, the formula becomes:
Interior Angle = (180 * (10 - 2)) / 10
Simplifying this equation:
Interior Angle = (180 * 8) / 10
Interior Angle = 144 degrees
So, each interior angle in a regular 10-sided polygon measures 144 degrees.
10 (180-alpha) = 360 all the way around the outside
180 - alpha = 36
alpha = 144