Question

given the regular polygon what is the measure of each numbered angle

Answer 1

To find the measure of each numbered angle in a regular polygon, you can use the formula:

Measure of each angle = (180 * (n - 2)) / n

where n is the number of sides in the polygon.

For example, if you have a regular hexagon (6 sides), you would plug in n = 6 into the formula:

Measure of each angle = (180 * (6 - 2)) / 6
Measure of each angle = (180 * 4) / 6
Measure of each angle = 720 / 6
Measure of each angle = 120 degrees

So, the measure of each numbered angle in a regular hexagon is 120 degrees.