what is the measure of one angle in a regular 15 gon

1 answer

To find the measure of one angle in a regular 15-gon (a polygon with 15 sides), you can use the formula:

Angle measure = (n-2) * 180 degrees / n

In this case, n represents the number of sides, which is 15. Plugging this value into the formula, we have:

Angle measure = (15-2) * 180 degrees / 15
Angle measure = (13) * 180 degrees / 15
Angle measure = 2340 degrees / 15
Angle measure = 156 degrees

Therefore, one angle in a regular 15-gon has a measure of 156 degrees.