Parallel Lines Cut by Transversals

Alternate interior angles

same side interior angles

vertical angles

corresponding angles

$$\angle5\ and\ \angle8\ are\ vertical\ angles$$  

$$\angle2\ and\ \angle8\ are\ corresponding\ angles$$  

$$\angle1\ and\ \angle8\ are\ alternate\ interior\ angles$$  

$$\angle1\ and\ \angle7\ are\ \sup plementary\ angles$$  

$$\angle3\ and\ \angle5\ are\ congruent\ angles$$  

$$\angle8\$$  

$$\angle2$$

$$\angle3$$

$$\angle6$$

Alternate Interior

Vertical

Corresponding

Alternate Exterior

Alternate Interior

Consecutive

Corresponding

Alternate Exterior

Alternate Interior

Consecutive

Corresponding

Alternate Exterior

60 degrees

120 degrees

90 degrees

None