Exploring Interior Angles of Regular Polygons

The video tutorial explains how to calculate the interior angles of regular polygons, starting with basic shapes like equilateral triangles and squares, and progressing to more complex polygons such as pentagons, hexagons, and decagons. The instructor introduces a method to determine the sum of interior angles by dividing the polygon into triangles and using the formula (n-2) * 180°, where n is the number of sides. The video also covers how to find the measure of each interior angle by dividing the total sum by the number of angles. This method is applicable to any regular polygon, regardless of the number of sides.

What is the sum of the interior angles of an equilateral triangle?

• 270°

• 90°

• 360°

• 180°

How many degrees is each angle in a square?

• 360°

• 180°

• 90°

• 45°

Tags

CCSS.7.G.B.5

If a pentagon is divided from one vertex, how many triangles are formed?

• 5

• 4

• 3

• 2

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

• 360°

• 540°

• 720°

• 900°

Each angle of a regular heptagon measures approximately:

• 135°

• 140°

• 120°

• 128.57°

How many triangles would a decagon be divided into from one vertex?

• 12

• 10

• 8

• 6

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

• 1260°

• 900°

• 1440°

• 1080°

How many triangles are formed when a 34-sided polygon is divided from one vertex?

• 30

• 34

• 36

• 32

What is the sum of the interior angles of a 30-sided polygon?

• 5040°

• 5400°

• 5760°

• 6000°

What is the pattern used to determine the number of triangles when dividing polygons from one vertex?

• Sides minus two

• Sides plus two

• Sides times two

• Sides divided by two