Linear Pair, Vertical and Corresponding Angles Parallel Lines

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

$$\angle1\ and\ \angle2$$  

$$\angle2\ and\ \angle6$$  

$$\angle4\ and\ \angle8$$  

$$\angle3\ and\ \angle7$$  

$$\angle1\ and\ \angle4$$  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

alternate exterior

alternate interior

consecutive interior

corresponding

alternate interior

corresponding

alternate exterior

consecutive interior

$$\angle2$$  

$$\angle3$$  

$$\angle4$$  

$$\angle5$$  

$$\angle6$$  

$$\angle2$$  

$$\angle3$$  

$$\angle4$$  

$$\angle5$$  

$$\angle6$$  

alternate interior

alternate exterior

corresponding

consecutive interior

$$\angle2$$  

$$\angle3$$  

$$\angle4$$  

$$\angle5$$  

$$\angle6$$