Angle Relationships

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What is the sum of supplementary angles?

Back

The sum of supplementary angles is 180 degrees.

Front

If one angle is four times the measure of another angle, how can you express this relationship mathematically?

Back

Let the smaller angle be x. Then the larger angle can be expressed as 4x. The equation for supplementary angles would be x + 4x = 180.

Front

What are congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

How do you find the measure of an angle when given its complement?

Back

The measure of an angle and its complement add up to 90 degrees. If the complement is known, subtract it from 90 to find the angle.

Front

What is the relationship between adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

Front

What is the measure of an angle if it is supplementary to a 124-degree angle?

Back

The measure of the angle is 180 - 124 = 56 degrees.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

How can you determine if two angles are complementary?

Back

To determine if two angles are complementary, add their measures together. If the sum is 90 degrees, they are complementary.

Front

What is the formula for finding the measure of an angle in a linear pair?

Back

In a linear pair, the two angles are supplementary, so their measures add up to 180 degrees.