Polygon Properties and Angle Measures

The video tutorial by Mr. Backer explores the concept of interior angles in polygons, starting with familiar shapes like triangles and expanding to quadrilaterals, pentagons, and hexagons. It introduces a formula to calculate the sum of interior angles based on the number of sides, and demonstrates its application through various examples. The tutorial also covers how to work backwards using the formula to determine the number of sides from a given angle sum, and how to solve for unknown angles in polygons. Finally, it discusses angle measures in regular polygons, emphasizing the equal distribution of angles.

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

• 540°

• 180°

• 90°

• 360°

How many triangles can a quadrilateral be divided into?

• 4

• 3

• 2

• 1

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

• 720°

• 900°

• 540°

• 360°

How many triangles can be formed in a hexagon?

• 4

• 5

• 3

• 2

What is the formula for the sum of interior angles of a polygon?

• N * 90

• N * 180

• (N - 2) * 180

• (N - 2) * 90

If a polygon has 8 sides, what is the sum of its interior angles?

• 720°

• 900°

• 1080°

• 1260°

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

• 1620°

• 1440°

• 1260°

• 1080°

How many sides does a polygon have if its interior angles sum to 2700°?

• 15

• 18

• 16

• 17

If the sum of the interior angles of a polygon is 900°, how many sides does it have?

• 7

• 6

• 8

• 5

What is the name of a polygon with seven sides?

• Nonagon

• Octagon

• Heptagon

• Hexagon