Determine the sum of all interior angles of a polygon ex 3

The video tutorial explains how to find the sum of the interior angles of a hexagon. It begins by illustrating a hexagon and explains that while a regular hexagon is used for individual angle calculations, any hexagon can be used for finding the sum. The method involves drawing lines from one vertex to others, forming triangles. Since each triangle's interior angles sum to 180 degrees, the hexagon's angles can be calculated by multiplying the number of triangles by 180. The formula (number of sides minus 2) times 180 is also introduced, confirming the sum of 720 degrees for a hexagon.

What is the first step in finding the sum of the interior angles of a hexagon?

• Draw a regular hexagon

• Choose a vertex and draw lines to other vertices

• Calculate the exterior angles

• Use the formula directly

How many triangles can be formed by drawing lines from one vertex to all other vertices in a hexagon?

• Six

• Five

• Four

• Three

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

• 90 degrees

• 180 degrees

• 360 degrees

• 540 degrees

What is the formula used to calculate the sum of the interior angles of a polygon?

• (Number of sides - 2) * 90

• (Number of sides - 2) * 180

• (Number of sides + 2) * 180

• (Number of sides + 2) * 90

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

• 600 degrees

• 540 degrees

• 900 degrees

• 720 degrees