Linear Pairs and Vertical Angles

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles that are formed when two lines intersect. The sum of the angles in a linear pair is always 180 degrees.

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

If two angles are supplementary, what is the sum of their measures?

Back

The sum of the measures of supplementary angles is 180 degrees.

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum of the measures of complementary angles is 90 degrees.

Front

How do you find the value of x in a linear pair?

Back

To find the value of x in a linear pair, set up the equation where the sum of the two angles equals 180 degrees and solve for x.

Front

What is the relationship between vertical angles?

Back

Vertical angles are equal; if two angles are vertical angles, then their measures are the same.

Front

If one angle measures 35 degrees, what is the measure of its linear pair?

Back

The measure of its linear pair is 145 degrees, since 180 - 35 = 145.

Front

If two vertical angles are represented as (2x + 10) and (3x - 20), how do you find x?

Back

Set the two expressions equal to each other: 2x + 10 = 3x - 20, then solve for x.

Front

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

Back

The formula is: Angle1 + Angle2 = 180 degrees.

Front

If angle A is 60 degrees, what is the measure of its vertical angle?

Back

The measure of its vertical angle is also 60 degrees.