# What is the sum of the angles of the pentagon?

Imagine a convex pentagon in the form of a quadrangle with a triangle added to it. Since the sum of the angles of the quadrangle is one way or another 360 degrees, and the amount of the angles of the triangle is 180 degrees, the method of simple calculation of 180+360 we get the number 540: it is 540 degrees – the amount of the angles of the pentagon.

The amount of the angles of the pentagon is 540 degrees.

For reference:

The hexagon has the amount of angles – 720 degrees.

The seven -Uglter is the amount of angles -900 degrees.

The octagon has the amount of angles -1080 degrees.

The quadrangle has the amount of angles -360 degrees.

The triangle has the amount of angles -180 degrees.

There is a formula for calculating the sum of all angles of the polygon, due to which you can calculate the amount of the angles of any polygon, whether it is a triangle, or a quadrangle, or a pentagon, etc. D.

This formula looks like this:

The sum of angles = (n – 2) x 180 °.

Then the sum of the angles for our pentagon will be equal (5 – 2) x 180 = 3 x 180 = 540 °.

And it is possible to apply for such a calculation another method that we can divide our pentagon into triangles, which will be three, and since in the triangle the sum of the corners is 180 °, then 3 triangles are multiplied by 180 and get the same540 °.

Judging by its name, a polygon with five corners is called a pentagon.

The sum of the angles of the pentagon can be found in the following formula:

(n – 2) x 180 °, where n is the number of angles in a polygon, in our case it will be 5.

It turns out: (5-2) x 180 = 3 x 180 = 540

In a pentagon with equal angles, each angle will be 108 °.

The sum of the angles of any pentagonists costs 540 degrees.

On average, the angle is about 110 degrees.

Pentagons in mathematics are often found, so you need to know the formula if you do not know how many degrees in the figure.

## Formula for finding the amount of degrees in the N-Urgon: (N-2)*180 degrees.

There is a formula in accordance with which it can be determined what is equal to the sum of the angles of any polygon. (n-2)*180, where n is the number of angles in our polygon. Apply the formula: (5-2)*180 = 540. The right answer to this question will be the number 540