Linear Pairs Vertical Transversal Angles

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

$$\angle1\ and\ \angle4$$  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

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

Sweet!

Cool.

Right on.

25

5.85

27

5.9

30

48

16

51

$$\angle3\ and\ \angle2$$  

$$\angle6\ and\ \angle8$$  

$$\angle3\ and\ \angle6$$  

$$\angle1\ and\ \angle9$$  

They are congruent

They form vertical angles

They form a linear pair

They are non-adjacent angles

$$\angle2\cong\angle4$$  

$$m\angle2+m\angle4=180\degree$$  

$$\angle2\ and\ \angle4$$  are right angles

They are non-adjacent angles