Calculating Interior Angles of Polygons

The video tutorial explains how to calculate the interior angles of polygons by exploring diagonals and deriving a formula. It covers specific examples with triangles, quadrilaterals, pentagons, hexagons, and decagons, and introduces a general formula for any polygon. The tutorial also discusses regular polygons and focuses on quadrilaterals, providing methods to calculate individual angles and solve for missing angles.

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

• 360 degrees

• 180 degrees

• 90 degrees

• 270 degrees

Tags

CCSS.8.G.A.5

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

• 3

• 1

• 2

• 4

Using the general formula, what is the sum of the interior angles of a pentagon?

• 540 degrees

• 360 degrees

• 720 degrees

• 180 degrees

If a polygon has 7 sides, what is the sum of its interior angles?

• 1080 degrees

• 900 degrees

• 720 degrees

• 1260 degrees

How many sides does a polygon have if the sum of its interior angles is 1080 degrees?

• 9

• 8

• 7

• 6

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

• 1800 degrees

• 1440 degrees

• 720 degrees

• 360 degrees

For a regular polygon, each angle measures 156 degrees. How many sides does it have?

• 10

• 12

• 15

• 20

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

• 540 degrees

• 360 degrees

• 180 degrees

• 720 degrees

If a regular polygon's each angle is 170 degrees, how many sides does it have?

• 36

• 30

• 40

• 24

What is the sum of the interior angles of a 12-sided polygon?

• 1800 degrees

• 3600 degrees

• 2160 degrees

• 1440 degrees