Sum Of Interior Angles Pentagon

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.

Sum of interior angles pentagon. In the pentagon the sum of the interior angles is always equal to 540 degrees. Remember that a polygon must have at. The formula for the sum of that polygon s interior angles is refreshingly simple.

The formula is sum n 2 180 displaystyle sum n 2 times 180 where sum displaystyle sum is the sum of the interior angles of the polygon and n displaystyle n equals the number of sides in the polygon 1 x research source the value 180 comes from how many degrees are in a triangle. It is easy to see that we can do this for any simple convex polygon. Regular pentagons where all the sides and angles are the same will have a sum of interior angles of 540 degrees.

And there are five angles. If it is a regular polygon all sides are equal all angles are equal shape sides sum of interior angles shape each angle. N n 2 180 n 2 180 n.

The other part of the formula n 2 step 2 count the number of sides in your polygon. Otherwise it is known as an irregular polygon. 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.

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. Let n n equal the number of sides of whatever regular polygon you are studying.

The properties of regular pentagons. Step 1 set up the formula for finding the sum of the interior angles. Here is the formula.