What are the measures of each interior angles of a regular 24-gon

The formula for the sum of the interior angles of a polygon is (n-2) * 180, where n is the number of sides.

So, you'd have:

180 (24-2)

180 (22)

3960

3960 degrees is the sum of all the measures of the interior angles of a 24-gon. Now, to find how much each angle measures in a regular 24-gon, simply divide this: 3960/24.

You can use a calculator to solve this, but to actually give you the answer to your question:

3960/24=165

In a regular 24-gon, each angle's measurement is 165 degrees.