Angle Relationships with Parallel Lines and Transversals

$$\angle1\ and\ \angle8$$  

$$\angle3\ and\ \angle7$$  

$$\angle4\ and\ \angle5$$  

$$\angle2\ and\ \angle5$$  

$$\angle1\ and\ \angle8$$  

$$\angle3\ and\ \angle7$$  

$$\angle4\ and\ \angle5$$  

$$\angle2\ and\ \angle5$$  

Angle 2

Angle 6

Angle 8

Angle 7

Corresponding angles

Consecutive interior angles

Alternate interior angles

alternate exterior angles

vertical

corresponding

alternate exterior

alternate interior

A pair of angles on the outer side of two lines cut by a transversal, but on opposite sides of the transversal

The angles opposite of each other when two lines cross

A pair of angles on the inner side of two lines cut by a transversal, but on opposite sides of the transversal

Two angles in the same position when parallel lines are cut by a transversal

Interior Angles

Parallel Angles

Transversal Angles

Exterior Angles