The sum of the interior angles of s regular polygon is 3960, how many sides does it have?

What is the measure of each interior angle?

What is the measure of each exterior angle?

The equation for the sum of interior angles is:

Sum = (n-2) x 180, where n is the number of sides.

Replace sum with the given sum:

3960 = (n-2) x 180

Divide both sides by 180:

22 = n-2

Add 2 to each side:

24 = n

It has 24 sides.

For Each interior angle, divide the total sum by the number of sides:

3960 / 24 = 165 degrees

The interior and exterior angle needs to equal 180 degrees. To find the exterior angle, subtract the interior angle from 180:

180 - 165 = 15 degrees.