More with New Angles

The figure to the right has two sets of intersecting lines.

The two sets of intersecting lines form four intersections.

The following are pairs of corresponding angles . These examples only show some of the corresponding angles in the figure. 

 $\angle1\ and\ \angle13$  

 $\angle1\ and\ \angle5$  

 $\angle16\ and\ \angle4$  

 $\angle16\ and\ \angle12$  

The following are alternate interior angle examples. These examples only show some of the alternate interior angles in the figure.

 $\angle2\ and\ \angle8$  These angles are Alt. Int. angles because they are on the interior of lines a and b and are on alternate sides of transversal d.

 $\angle3\ and\ \angle13$  These angles are alt/ int. angles because they are in the interior of lines d and c and are on opposite sides of transversal a.

 $\angle5\ and\ \angle15$  These angles are NOT alternate interior because they are NOT on the same transversal.

The following are alternate exterior angle examples. These examples only show some of the alternate exterior angles in the figure.

 $\angle2\ and\ \angle16$  These are alternate exterior angles because they are on the exterior of lines d and c and are on alternate sides of transversal a.

 $\angle6\ and\ \angle12$  These alternate exterior angles because they are on the exterior of lines d and c and are on alternate sides of transversal b.

 $\angle6\ and\ \angle16$  These angles are not alternate exterior angles because they are not on the same transversal.

 $\angle3\ and\ \angle14$  These angles are consecutive interior angles. They are on the same side of transversal a and they are on the interior of lines a and b.

 $\angle8\ and\ \angle9$  These angles are consecutive interior angles. They are on the same side of transversal b and are in the interior of lines d and c.