Polygon Angle Sums and Properties

The video tutorial explains the angle sum property of polygons, which is calculated as (n-2) x 180 degrees, where n is the number of sides. The teacher uses various shapes, including triangles, squares, pentagons, hexagons, septagons, and octagons, to demonstrate how the number of triangles within each shape relates to the angle sum. The tutorial provides a step-by-step calculation of angle sums for each shape, proving the formula through examples.

What is the formula for calculating the angle sum of a polygon?

• n times 180 degrees

• n minus 2 times 180 degrees

• n plus 2 times 180 degrees

• n divided by 2 times 180 degrees

How many sides does a triangle have?

• Three

• Five

• Two

• Four

Which polygon has four sides?

• Square

• Hexagon

• Pentagon

• Triangle

How many triangles can a pentagon be divided into?

• Two

• Three

• Five

• Four

What is the angle sum of a square?

• 180 degrees

• 360 degrees

• 540 degrees

• 720 degrees

How many triangles are there in a hexagon?

• Three

• Four

• Five

• Six

What is the angle sum of a pentagon?

• 900 degrees

• 720 degrees

• 540 degrees

• 360 degrees

How many sides does a septagon have?

• Eight

• Six

• Nine

• Seven

What is the angle sum of a hexagon?

• 540 degrees

• 1080 degrees

• 720 degrees

• 900 degrees

How many triangles can an octagon be divided into?

• Six

• Eight

• Five

• Seven