# What is the sum of the interior angles of a polygon that has a total of 3740 diagonals?

##### 1 Answer

#### Explanation:

I guess I will just answer my own question after two months.

The equation for diagonals:

Now let’s plug in

To cancel the denominator

Let’s have both the variables and the constant on one side set to

Factor the equation out:

Set

We cannot use

This is the equation to find the sum of interior angles:

Now that we have the number of sides of the polygon, we can plug it into the equation:

Hope this helps someone out!