To answer this question, first we need to understand the definition of alternate interior angles and alternate exterior angles.
Alternate exterior angles are created when two or more lines are intersected by a transversal. These angles are formed on the outer side of the transversal on the different sides.
When any two parallel lines are intersected by a transversal, they create some pairs of angles with the transversal. Interior angles are created in the space inside the parallel lines whereas alternate exterior angles are created in the space outside the parallel lines.
Two angles that lie on the opposite sides of the transversal and are placed on two different lines are called alternate exterior angles.
When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles.
In both cases, alternate interior/exterior angles are equal.
By those definitions, ∠DAC and ∠BCA are alternate interior angles, ∠BAE and ∠ABC are also alternate interior angles.