Classify Angles and Angle Pairs

2 pairs of vertical angles

3 pairs of vertical angles

4 pairs of vertical angles

8 pairs of vertical angles

2 Linear Pairs

4 Linear Pairs

6 Linear Pairs

8 Linear Pairs

$$\angle5\cong\angle4$$  These are called Alternate Interior Angles.  They are congruent if they are formed by parallel lines!

Sweet!

Cool.

Right on.

$$\angle3\ and\ \angle2$$  

$$\angle5\ and\ \angle7$$  

$$\angle2\ and\ \angle8$$  

$$\angle3\ and\ \angle5$$  

Linear Pairs

Vertical Angles

Angles that are the same size

Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

Angles that add up to 180

Same Side Exterior Angles

Angles that add up to 90

Same Side Interior Angles

28, 114

80, 62

42, 100

32, 110

Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

Supplementary Angles

Vertical Angles

Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

Supplementary Angles

Vertical Angles

$$\angle1\ and\ \angle2$$  

$$\angle2\ and\ \angle6$$  

$$\angle4\ and\ \angle8$$  

$$\angle3\ and\ \angle7$$  

$$\angle1\ and\ \angle4$$  form a linear pair, so are supplementary

$$\angle1\ and\ \angle4$$  are adjacent angles which share a side

$$\angle1\cong\ \angle4$$  because they are vertical angles

$$\angle1\ and\ \angle4$$  are right angles