What is the sum of the internal angles of a pentagon?

Answer 1

The sum of the interior angles of a polygon, with n sides, is

(n - 2)*180 degrees.

For a pentagon, n = 5 so (5-2)*180 = 3*180 = 540 degrees.

Answer 2

The sum of the internal angles of a pentagon is 540 degrees.

Here's how:

**To find the sum of the internal/interior angles of a polygon there is a formula,

(n - 2)180 where n is the number of sides.**

n = 5 , a pentagon has 5 sides

(n - 2)180

(5 - 2)180

(3)180

540

So a pentagon would have 540 degrees. If the formula is too complicated for you to remember, you can use a pattern: Add 180 degrees to the next shape. For example, a triangle has 180 degrees, a quadrilateral has 360 degrees, pentagon has 540, hexagon 720, etc. Each time you add a side you are adding 180 degrees.
The sum of the internal angles of a pentagon is 540 degrees.
540 degrees
The interior angles in a pentagon total 540 degrees
The sum of the interior angles of a polygon with n sides is equal to 180 x (n - 2). Therefore, the sum of the interior angles of a pentagon is equal to 180 x (5 - 2) = 180 x 3 = 540 degrees.
108 degrees.

You must work out the exterior angle first.

To find exterior, you count the angles on the pentagon, which is 5.

And divide it by 360 which you'd get 72 degrees.

Now to find the interior, you know a straight line is 180 degrees, so 180 minus 72 which is 108.

Viola!
360 degrees

I vote for 540 degrees.

* * * * *

There is no need to vote. It can be proven that the interior angles of a polygon with n sides add to (180*(n-2) degrees. For a pentagon that would be 180*(5-2) = 180*3 = 540 degrees.
The 5 interior angles of a pentagon add up to 540 degrees
Total interior angles of a pentagon (360+180) = 540 degrees.

A pentagon can be divided into a square and a triangle. The interior angles of a square are 360 and for a triangle are 180.

540°

The 5 interior angles add up to 540 degrees
They add up to 540 degrees
540 degrees in total.

108 degrees individually.

540 degrees total. 108 degrees for each angle.
(5-2)*180 = 540 degrees
108o if a regular pentagon. Total is 540o irrespective of shape. (2n - 4) right angles.
540 degrees
Yes that is correct because the interior angles of a 5 sided pentagon add up to 540 degrees.
The 5 interior angles of a pentagon add up to 540 degrees