How to find the sum of interior angles of a polygon?

We will use the concept of the triangle and convex polygon to find the sum of interior angles.

Answer: To find the sum of interior angles of a polygon, use the formula S = (n − 2) × 180°.

Let us see how we will use the concept of the triangle and convex polygon to find the sum of interior angles.

Explanation:

The sum of interior angles of a polygon can be calculated by multiplying the number of triangles that can be drawn in the polygon by joining its vertex by 180°. We can observe that the number of triangles is two less than the number of sides and it is always true.

Hence, if a convex polygon has n sides, then the sum of its interior angles is given by the following formula: S = (n − 2) × 180°.

This is the angle sum of interior angles of a polygon.

Therefore, to find the sum of interior angles of a polygon, use the formula S = (n − 2) × 180°.