What is the interior angle sum theorem for polygons

The video tutorial explores the sum of angles in polygons, starting with basic shapes like triangles and quadrilaterals, and moving to more complex shapes like pentagons and hexagons. The teacher guides students through identifying patterns in the number of sides and internal triangles, leading to the derivation of a formula for calculating the sum of angles in any polygon. The formula is explained as (n-2) * 180, where n is the number of sides. The tutorial concludes with a practical example using a 15-sided polygon.

What is the sum of the angles in a triangle?

How many triangles can be formed inside a quadrilateral?

What pattern do you observe regarding the number of sides and the number of triangles in polygons?

Describe the relationship between the number of sides in a polygon and the number of triangles that can be formed.

If a polygon has 15 sides, how many triangles can be formed?

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

What is the sum of all the angles in a polygon with 15 sides?