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 interior angles of a polygon with 15 sides?

• 1800 degrees

• 2340 degrees

• 2700 degrees

• 3000 degrees

How many triangles can be formed inside a quadrilateral?

• 2

• 1

• 4

• 3

If a hexagon has 6 sides, how many triangles can be formed inside it?

• 4

• 3

• 2

• 5

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

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

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

• The number of triangles is equal to the number of sides.

• The number of triangles is one less than the number of sides.

• The number of triangles is three less than the number of sides.

• The number of triangles is two less than the number of sides.

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

• n * 180

• (n - 3) * 180

• (n - 2) * 180

• (n - 1) * 180

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

• Divide the number of sides by 2 and multiply by 180

• Add 2 to the number of sides and multiply by 180

• Subtract 2 from the number of sides and multiply by 180

• Multiply the number of sides by 180