Complementary, Suplementary, Vertical & Linear Pair

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 definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 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

What is the relationship between linear pairs of angles?

Back

Linear pairs of angles are two adjacent angles that form a straight line, and their measures add up to 180 degrees.

Front

How can you identify vertical angles in a diagram?

Back

Vertical angles can be identified as the angles that are opposite each other at the intersection of two lines.

Front

If angle A measures 30 degrees, what is the measure of its supplementary angle?

Back

The measure of the supplementary angle is 150 degrees (180 - 30 = 150).

Front

What is the measure of each angle in a pair of complementary angles if one angle measures 40 degrees?

Back

The measure of the other angle is 50 degrees (90 - 40 = 50).

Front

Can two angles be both supplementary and complementary?

Back

No, two angles cannot be both supplementary and complementary because supplementary angles sum to 180 degrees, while complementary angles sum to 90 degrees.

Front

What are the properties of vertical angles?

Back

Vertical angles are equal in measure and are formed by the intersection of two lines.

Front

If angle C and angle D are supplementary and angle D measures 45 degrees, what is the measure of angle C?

Back

Angle C measures 135 degrees (180 - 45 = 135).