Interior Angles of Polygons

The video tutorial explains how to calculate the sum of interior angles in a polygon using the formula (n-2) x 180 degrees, where n is the number of sides. It begins by establishing that the sum of angles in a triangle is 180 degrees. The tutorial then demonstrates how polygons can be divided into triangles by drawing diagonals from a single vertex. Examples with quadrilaterals, pentagons, and hexagons illustrate that the number of triangles is always two less than the number of sides. The video concludes by applying the formula to calculate the sum of interior angles for different polygons.

What is the purpose of using the formula n-2 times 180 degrees?

• To find the perimeter of a polygon

• To calculate the area of a polygon

• To determine the sum of interior angles in a polygon

• To find the number of sides in a polygon

What is the sum of angles in a triangle?

• 90 degrees

• 270 degrees

• 180 degrees

• 360 degrees

How many triangles can a quadrilateral be divided into?

• One

• Three

• Four

• Two

If a pentagon is divided into triangles, how many triangles are formed?

• Five

• Four

• Three

• Two

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 three less than the number of sides

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

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

In a pentagon, how do the interior angles relate to the triangles formed?

• Each interior angle is the sum of angles from two triangles

• Each interior angle is the sum of angles from three triangles

• Each interior angle is equal to one triangle's angle

• Each interior angle is independent of the triangles

What is the sum of the interior angles in a pentagon?

• 360 degrees

• 540 degrees

• 720 degrees

• 900 degrees

How many triangles are formed in a hexagon?

• Five

• Three

• Two

• Four

What is the sum of the interior angles in a quadrilateral?

• 720 degrees

• 180 degrees

• 540 degrees

• 360 degrees

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

• 900 degrees

• 720 degrees

• 540 degrees

• 360 degrees