Parallel Lines Cut by A Transversal Lecture

These are the four angles formed between the lines x and y. In the figure, these are

These are the four angles formed that lie outside the lines x and y. In the figure, these are  $\angle A,\ \angle B,\ \angle G,$ and  $\angle H.\$  

These are two interior angles that lie on opposite sides of a transversal. In the figure, these are angle pairs  $\angle C$  and  $\angle F$  and  $\angle D$ and  $\angle E.\$  

These are two exterior angles that lie on opposite sides of the transversal. In the figure, these are  $\angle A$ and $\angle H$ and  $\angle B$ and  $\angle G.$  

These are two angles, one interior and the other exterior, on the same side of the transversal. The pairs of corresponding angles $\angle A$ and $\angle E,$  $\angle B$ and $\angle F,$  $\angle C$ and  $\angle G,$  and  $\angle D$ and  $\angle H.$ 

These are the opposite angles formed when two lines intersect. In the figure, these are