Formula For The Sum Of Interior Angles

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.

Formula for the sum of interior angles. 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. N 2 180 where n is the number of sides. Using our new formula any angle n 2 180 n for a triangle 3 sides 3 2 180 3 1 180 3 180 3 60.

The formula for the sum of that polygon s interior angles is refreshingly simple. If n represents the number of sides then sum of interior angles of a polygon n 2 180 0 example. The sum of interior angles of a 3 sided polygon i e.

Formula to find the sum of interior angles of a n sided polygon is n 2 180 by using the formula sum of the interior angles of the above polygon is 5 2 180. To calculate the sum of interior angles you therefore use the formula. Sum of interior angles 360 2n 90 so the sum of the interior angles 2n 90 360 take 90 as common then it becomes the sum of the interior angles 2n 4 90.

Step 1 set up the formula for finding the sum of the interior angles. Let n n equal the number of sides of whatever regular polygon you are studying. Since every triangle has interior angles measuring 180 180 multiplying the number of dividing triangles times 180 180 gives you the sum of the interior angles.

Sum of interior angles of a three sided polygon can be calculated using the formula as. Sum of interior angles p 2 180 60 40 x 83 3 2 180. S n 2 180 this is the angle sum of interior angles of a polygon.

Here is the formula. S n 2 180 s n 2 180. Remember that a polygon must have at.