How to use triangles to find the measure of interior angles of a polygon

The video tutorial explains the sum of angles in various polygons, starting with triangles, where the sum is always 180 degrees. It then moves on to quadrilaterals, pentagons, and hexagons, explaining how to calculate their angle sums by dividing them into triangles using diagonals. The sum of angles in a quadrilateral is 360 degrees, in a pentagon is 540 degrees, and in a hexagon is 720 degrees. The tutorial emphasizes understanding these concepts through drawing and calculating.

What is the total sum of angles in any triangle?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

How do you determine the sum of angles in a polygon?

• By using a protractor

• By counting the number of sides

• By dividing the polygon into triangles

• By measuring each angle individually

What is the sum of all angles in a quadrilateral?

• 540 degrees

• 180 degrees

• 270 degrees

• 360 degrees

How many triangles can be formed by drawing diagonals from one vertex in a pentagon?

• 2

• 3

• 4

• 5

What is the sum of all angles in a hexagon?

• 360 degrees

• 540 degrees

• 900 degrees

• 720 degrees