How to determine the sum of interior angles for any polygon

The video tutorial explains how to determine the sum of the interior angles of a polygon. It starts by discussing the sum of angles in a triangle, which is 180 degrees, and extends this concept to polygons. The method involves selecting a vertex and drawing lines to other vertices to form triangles. The number of triangles is always two less than the number of sides. The sum of the interior angles is calculated by multiplying the number of triangles by 180 degrees. This method applies to any polygon, regardless of the number of sides.

What is the sum of the interior angles of a triangle?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

When dividing a polygon into triangles, what is the first step?

• Calculate the perimeter

• Choose a vertex

• Count the number of sides

• Draw a circle around the polygon

How many triangles can be formed in a quadrilateral?

• Two

• Three

• Four

• One

What is the relationship between the number of sides and triangles in a polygon?

• Number of sides minus two

• Number of sides divided by two

• Number of sides plus two

• Number of sides times two

How do you calculate the sum of interior angles of a polygon with n sides?

• (n - 2) * 180

• (n + 2) * 180

• n / 2 * 180

• n * 180