# Alternate Interior Angles

**Definition:** When a transversal (any line that passes through two other lines) cuts two coplanar lines then the angles that are in between the two coplanar lines and
that lie on the opposite sides of the transversal are called the Alternate Interior angles.

In these figures, Line m and line n are coplanar lines. The transversal cuts both the lines. $\angle$a and $\angle$c are angles formed when the transversal cuts m and n
and these are one pair of angles that are on opposite sides of transversal *l *and in between* *the lines* m and n.* Thus $\angle$a and $\angle$c
are Alternate Interior angles. There is one other such pair of Alternate Interior angles in these figures. $\angle$b and $\angle$d is the other pair of Alternate
Interior angles in these figures. In Figure (i), the lines *m and n* are parallel and in Figure (ii) the lines *m and n* are not parallel.

It is easy to remember that the pair of Alternate Interior angles are on "Alternate" sides of the Transversal, and they are on the "Interior" of the two crossed lines.