how many degrees are in a pentagon?

http://www.coolmath.com/reference/polygons.html

Pick any vertex and draw in two diagonals creating 3 triangles inside the pentagon.

What is the angle sum of one triangle?
How many triangles do you have ?

540

To determine the number of degrees in a pentagon, we need to understand its interior angles.

A pentagon is a polygon with five sides. To find the total degrees of its interior angles, we can use the formula:

Total degrees = (n - 2) × 180

In this formula, "n" represents the number of sides of the polygon. For a pentagon, "n" is equal to 5.

Let's substitute the value of "n" into the formula:

Total degrees = (5 - 2) × 180
Total degrees = 3 × 180
Total degrees = 540

Therefore, a pentagon has a total of 540 degrees.