Interior and Exterior Angles of Polygons

The video tutorial covers the topic of polygons, focusing on regular polygons. It explains the properties of regular polygons, such as congruent sides and angles, and provides formulas for calculating interior and exterior angles. Examples with heptagons, hexagons, and nonagons are used to illustrate these calculations. The tutorial also highlights the relationship between interior and exterior angles, emphasizing their supplementary nature.

What is a defining characteristic of a regular polygon?

• All sides are different lengths.

• All interior angles are different.

• All sides and angles are congruent.

• It has at least one right angle.

How do you calculate the sum of interior angles of a regular polygon?

• Add 90 degrees to each angle.

• Divide 360 by the number of sides.

• Use the formula 180(n-2).

• Multiply the number of sides by 180.

What is the measure of each interior angle in a regular hexagon?

• 180 degrees

• 150 degrees

• 120 degrees

• 90 degrees

What is the measure of each interior angle in a regular nonagon?

• 140 degrees

• 130 degrees

• 150 degrees

• 120 degrees

What is the sum of the exterior angles of any polygon?

• 180 degrees

• 360 degrees

• 540 degrees

• 720 degrees

How do you find the measure of one exterior angle in a regular polygon?

• Divide 360 by the number of sides.

• Subtract the interior angle from 360.

• Divide 180 by the number of sides.

• Multiply the number of sides by 60.

In a regular heptagon, what is the measure of each exterior angle?

• 72 degrees

• 51.43 degrees

• 45 degrees

• 60 degrees

What is the relationship between an interior and its corresponding exterior angle in a polygon?

• They are complementary.

• They add up to 180 degrees.

• They add up to 90 degrees.

• They are equal.

If an interior angle of a regular polygon is 140 degrees, what is the measure of its exterior angle?

• 20 degrees

• 30 degrees

• 50 degrees

• 40 degrees

How can you find the interior angle if you know the exterior angle of a regular polygon?

• Add 90 degrees to the exterior angle.

• Subtract the exterior angle from 180 degrees.

• Multiply the exterior angle by 2.

• Divide the exterior angle by the number of sides.