Triangles and Angles in Polygons

The video tutorial explains how to calculate the sum of angles in polygons. It starts with basic shapes like triangles, squares, and pentagons, showing how to divide them into triangles to find their angle sums. The tutorial then generalizes this method to derive a formula for any n-sided polygon: subtract 2 from the number of sides and multiply by 180 degrees. This formula helps determine the angle sum of any polygon.

What is the primary goal of the video tutorial?

• To identify different types of polygons

• To calculate the area of polygons

• To determine the sum of angles in polygons

• To find the perimeter of polygons

How many sides does a triangle have?

• Four

• Three

• Two

• Five

What is the sum of the angles in a triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

How many triangles can be formed inside a square using diagonals?

• One

• Two

• Three

• Four

What is the sum of the angles in a square?

• 450 degrees

• 270 degrees

• 360 degrees

• 180 degrees

How many triangles can be formed inside a pentagon using diagonals?

• Four

• Three

• Two

• Five

What is the sum of the angles in a pentagon?

• 360 degrees

• 450 degrees

• 540 degrees

• 630 degrees

What is the general formula for finding the sum of angles in an n-sided polygon?

• (n-1) x 180

• (n-4) x 180

• (n-2) x 180

• (n-3) x 180

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

• Three

• Five

• Six

• Four

What is the sum of the angles in a hexagon?

• 540 degrees

• 1080 degrees

• 720 degrees

• 900 degrees