Unit 3 Angle Pairs

Front

What are adjacent angles?

Back

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

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles whose non-common sides form a straight line. The sum of their measures is 180 degrees.

Front

Define complementary angles.

Back

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

Front

Define supplementary angles.

Back

Supplementary angles are two angles whose measures add up to 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

Identify a pair of adjacent angles from the following: ∠CXD and ∠FXE, ∠CXF and ∠DXE, ∠CXD and ∠DXE.

Back

∠CXD and ∠DXE are adjacent angles.

Front

Which angles are supplementary?

Back

Two angles are supplementary if their measures add up to 180 degrees.

Front

What is the relationship between a linear pair and supplementary angles?

Back

A linear pair of angles is always supplementary because their measures add up to 180 degrees.

Front

If ∠1 and ∠2 are complementary, what is the measure of ∠2 if ∠1 measures 30 degrees?

Back

∠2 measures 60 degrees because 90 - 30 = 60.

Front

If ∠3 and ∠4 are supplementary and ∠3 measures 110 degrees, what is the measure of ∠4?

Back

∠4 measures 70 degrees because 180 - 110 = 70.