The sum of the measures of all angles in any 10-gon is how many degrees?

http://www.coolmath.com/reference/polygons-10-decagons.html

To find the sum of the measures of all angles in any 10-gon, we need to know the formula for calculating the sum of angles in a polygon.

The formula for finding the sum of the measures of all angles in a polygon is:

Sum of angles = (n - 2) * 180 degrees

Where 'n' represents the number of sides of the polygon.

For a 10-gon, we have 'n' = 10. Plugging this into the formula, we get:

Sum of angles = (10 - 2) * 180 degrees
= 8 * 180 degrees
= 1440 degrees

Therefore, the sum of the measures of all angles in a 10-gon is 1440 degrees.