Exterior Angles

An exterior angle of a polygon is formed by extending one side of the polygon beyond the vertex. Each polygon has multiple exterior angles, one for each vertex.

Properties of Exterior Angles:

Exterior angles of a polygon add up to 360 degrees.
The measure of each exterior angle of a regular polygon is 360 divided by the number of sides.

Calculating Exterior Angles:

To calculate the measure of an exterior angle of a polygon, you can use the formula:

Measure of each exterior angle = 360 / Number of sides

Example:

For a regular hexagon (a polygon with 6 sides), the measure of each exterior angle would be:

360 / 6 = 60 degrees

Study Guide:

Understand the concept of exterior angles and how they are formed.
Remember the properties of exterior angles, such as the sum of exterior angles in a polygon and the measure of exterior angles in a regular polygon.
Practice calculating the measure of exterior angles for different polygons.
Apply the concept of exterior angles to solve problems related to polygons and angles.

By mastering the concept of exterior angles, you will have a better understanding of polygons and their properties.

◂Math Worksheets and Study Guides Eighth Grade. Real numbers

The resources above cover the following skills:

The Number System

Know that there are numbers that are not rational, and approximate them by rational numbers.

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. [8-NS1]

Expressions and Equations

Work with radicals and integer exponents.

Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. [8-EE2]