Sum Of Interior Angles Formula

If n represents the number of sides then sum of interior angles of a polygon n 2 180 0 example.

Sum of interior angles formula. The sum of interior angles of a 3 sided polygon i e. 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. You might already know that the sum of the interior angles of a triangle measures 180 and that in the special case of an equilateral triangle each angle measures exactly 60.

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 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. Hence we can say now if a convex polygon has n sides then the sum of its interior angle is given by the following formula.

Angle sum theorem how to calculate the sum of interior angles 8 steps sum of the interior angles a polygon prove sum of interior angles polygon is 180 n 2 you sum of interior angles an n sided polygon. 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. Step 1 set up the formula for finding the sum of the interior angles.

Sum of interior angles p 2 180 60 40 x 83 3 2 180. Sum of interior angles formula proof. Let n n equal the number of sides of whatever regular polygon you are studying.

Here is the formula. Remember that a polygon must have at. The other part of the formula n 2 step 2 count the number of sides in your polygon.

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. Below given is the formula for sum of interior angles of a polygon. S n 2 180 this is the angle sum of interior angles of a polygon.