Sum Of Interior Angles Of A Regular Pentagon

540 1 by using the angles sum of the interior angles of the above polygon is.

Sum of interior angles of a regular pentagon. 5 2 180. So the measure of the interior angle of a regular pentagon is 108 degrees. 58 100 112 25 x.

The formula for the sum of that polygon s interior angles is refreshingly simple. Let n n equal the number of sides of whatever regular polygon you are studying. To find the measure of the central angle of a regular pentagon make a circle in the middle.

It is easy to see that we can do this for any simple convex polygon. Regular pentagon is also called convex pentagon. So the sum of the interior angles in the simple convex pentagon is 5 180 360 900 360 540.

Sum of interior angles n 2 180 s u m o f i n t e r i o r a n g l e s n 2 180. Sum of angles in a pentagon. 540 5 108 degrees so the measure of the interior angle of a regular pentagon is equal to 108 degrees.

Here is the formula. Below are the different types of polygons namely regular irregular and concave pentagon respectively. This is true for any pentagon you have.

Now to find the measure of the interior angles of the pentagon we know that the sum of all the angles in a pentagon is equal to 540 degrees from the above figure and there are five angles. N 2 180. Formula to find the sum of interior angles of a n sided polygon is.