How to find the measure of one exterior angle given number of sides for a regular polygon

The video tutorial explains how to find the measure of one exterior angle of a regular polygon. It emphasizes the importance of regular polygons, where all sides and angles are equal. The tutorial highlights that the sum of exterior angles of any regular polygon is always 360 degrees. To find an individual exterior angle, divide 360 by the number of sides. An example with a 12-sided polygon is used to illustrate this calculation, resulting in each exterior angle measuring 30 degrees. The video concludes with a clarification on the example used.

What is a key characteristic of a regular polygon?

• It has curved sides.

• All sides and angles are equal.

• All angles are different.

• All sides are different lengths.

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

• 540 degrees

• 360 degrees

• 720 degrees

• 180 degrees

How are the exterior angles of a regular polygon related to its sides?

• They are always larger than the interior angles.

• They are half the measure of the interior angles.

• They are equal to the number of sides.

• They are equal in measure.

If a regular polygon has 12 sides, what is the measure of one exterior angle?

• 30 degrees

• 20 degrees

• 40 degrees

• 15 degrees

What is the process to find the measure of one exterior angle of a regular polygon?

• Multiply the number of sides by 360.

• Divide 360 by the number of sides.

• Subtract the number of sides from 360.

• Add the interior angles and divide by the number of sides.