Complementary, Supplementary, Vertical, Adjacent Angles

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 are complementary angles?

Back

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

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What are adjacent angles?

Back

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

Front

If ∠A and ∠B are complementary angles and ∠A measures 30°, what is the measure of ∠B?

Back

∠B = 60° (because 90° - 30° = 60°).

Front

If ∠C and ∠D are supplementary angles and ∠C measures 120°, what is the measure of ∠D?

Back

∠D = 60° (because 180° - 120° = 60°).

Front

Give an example of a pair of complementary angles.

Back

An example of complementary angles is 81° and 9°.

Front

Give an example of a pair of supplementary angles.

Back

An example of supplementary angles is 110° and 70°.

Front

What is the relationship between vertical angles?

Back

Vertical angles are always equal in measure.

Front

If two angles are adjacent and one measures 45°, what can you say about the other angle if they are supplementary?

Back

The other angle must measure 135° (because 180° - 45° = 135°).