Question

How do you find sum of interior angles and please give an example

Answer 1

Set up the formula for finding the sum of the interior angles. The formula is sum=(n-2)\times 180, where sum is the sum of the interior angles of the polygon, and n equals the number of sides in the polygon.

• The value 180 comes from how many degrees are in a triangle. The other part of the formula, n-2 is a way to determine how many triangles the polygon can be divided into. So, essentially the formula is calculating the degrees inside the triangles that make up the polygon.
• This method will work whether you are working with a regular or irregular polygon. Regular and irregular polygons with the same number of sides will always have the same sum of interior angles, the difference only being that in a regular polygon, all interior angles have the same measurement.In an irregular polygon, some of the angles will be smaller, some of the angles will be larger, but they will still add up to the same number of degrees that are in the regular shape.