Equation For Sum Of Interior Angles

The sum of the interior angles of the n triangles is n 180.

Equation for sum of interior angles. 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. The formula for the sum of the interior angles of a polygon the formula for calculating the sum of the interior angles of a polygon is the following.

S n 2 180 here n represents the number of. 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. X 24 32 180 sum of angles is 180 x 56 180.

Their sum is 360 2 180. Below given is the formula for sum of interior angles of a polygon. However the angles at the central point of the polygon do not belong to it.

To find the sum of interior angles of a polygon multiply the number of triangles in the polygon by 180. Step 1 set up the formula for finding the sum of the interior angles. The sum of the three interior angles in a triangle is always 180.

Triangle is n 2 180 0 3 2 180 0 180 0. Find the value of x in the following triangle. Since the interior angles add up to 180 every angle must be less than 180.

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. N 2 180 where n is the number of sides. The sum of the interior angles 2n 4 90 therefore the sum of n interior angles is 2n 4 90 so each interior angle of a regular polygon is 2n 4 90 n.