Given '$l$' || '$m$' then the match the angles '$x$' and '$y$' with their respective names.

Alternate angles are the pairs of angles that lie on the opposite side of the transversal.


So, $x,y$ in the above image are alternate angles.

Corresponding angles are the angles which occupy the same relative position at each intersection.


So, $x,y$ in the above image are corresponding angles.

Co-interior angles on the same side of the transversal are the interior angles that lie on the same side of the transversal.


So, $x,y$ in the above image are co-interior angles.