Polygon Properties and Interior Angles

This video tutorial explains how to find the interior angle measures of polygons. It covers the definition of polygons, the formula for calculating the sum of interior angles, and methods for finding unknown angles. The tutorial also demonstrates how to use the triangle method and solve for angles in regular polygons, such as hexagons.

What is a polygon?

• A shape with only two sides

• A closed figure with three or more line segments

• A figure with intersecting lines at any point

• A shape with curved sides

What is the formula to find the sum of interior angles of a polygon with n sides?

• n times 180 degrees

• (n + 2) times 180 degrees

• (n - 2) times 180 degrees

• n divided by 180 degrees

How many degrees do the interior angles of a pentagon add up to?

• 360 degrees

• 540 degrees

• 720 degrees

• 900 degrees

What is the alternative method to find the sum of interior angles in a polygon?

• Drawing triangles from one vertex

• Using a calculator

• Using a protractor

• Measuring each angle individually

How many triangles can be formed in a pentagon using the triangle method?

• 2

• 3

• 5

• 4

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

• 540 degrees

• 720 degrees

• 900 degrees

• 1080 degrees

If the sum of the interior angles of a heptagon is 900 degrees, what is the measure of angle x if the other angles are 128, 130, 120, 115, 145, and 140 degrees?

• 122 degrees

• 150 degrees

• 140 degrees

• 130 degrees

What does 'regular' mean in the context of polygons?

• All sides and angles are different

• All sides are equal but angles are different

• All sides and angles are equal

• All angles are equal but sides are different

How many degrees is each interior angle of a regular hexagon?

• 110 degrees

• 100 degrees

• 120 degrees

• 90 degrees

How do you calculate the measure of each interior angle in a regular polygon?

• Divide the sum of interior angles by the number of sides

• Multiply the number of sides by 180

• Subtract the number of sides from 360

• Add the number of sides to 180