Pentagon Sum Of Interior Angles

3 180 540 note that the number of triangles in the pentagon is two less than its number of sides.

Pentagon sum of interior angles. Pick a point in its interior connect it to all its sides get n triangles and then subtract 360 from the total giving us the general formula for the sum of interior angles in a simple convex polygon having n sides as. The sum of the internal angles of a pentagon is 540 degrees. The formula for the sum of that polygon s interior angles is refreshingly simple.

This makes a condition for the angles of a pentagon as angle sum property of pentagon this helps in solving many problems related to the angles of pentagon. Regular pentagons where all the sides and angles are the same will have a sum of interior angles of 540 degrees. 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.

And there are five angles. Let n n equal the number of sides of whatever regular polygon you are studying. The properties of regular pentagons.

You can therefore say that the sum of the pentagon s interior angles is. Interior angle sum of a pentagon 3 x 180 540 if the polygon is regular all its interior angles are equal you can use the. So the sum of the interior angles of a pentagon is 540 degrees.

All sides are the same length congruent and all interior angles are the same size congruent. Pentagon is formed from three triangles so the sum of angles in a pentagon 3 180 sum of the interior angles of a polygon of n sides n 2 180 540. Here s the general rule sum of the interior angles of a polygon 180 n 2 degrees where n is number of sides.

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