Question

parallel lines are:
transversal:
corresponding angles:

alternate interior angles:

alternate exterior angles:
supplementary angle:

Explanation:

Step1: Identify parallel lines

Parallel lines are lines that never intersect. In the given figure, lines $l$ and $m$ are parallel.

Step2: Identify transversal

A transversal is a line that intersects two or more parallel lines. Here, line $n$ is the transversal.

Step3: Identify corresponding angles

Corresponding angles are in the same relative position at each intersection. They are $\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$.

Step4: Identify alternate - interior angles

Alternate - interior angles are between the parallel lines and on opposite sides of the transversal. They are $\angle3$ and $\angle6$, $\angle4$ and $\angle5$.

Step5: Identify alternate - exterior angles

Alternate - exterior angles are outside the parallel lines and on opposite sides of the transversal. They are $\angle1$ and $\angle8$, $\angle2$ and $\angle7$.

Step6: Identify supplementary angles

Supplementary angles are two angles whose sum is 180 degrees. Examples are $\angle1$ and $\angle2$, $\angle3$ and $\angle4$, $\angle5$ and $\angle6$, $\angle7$ and $\angle8$, $\angle1$ and $\angle3$, $\angle2$ and $\angle4$, $\angle5$ and $\angle7$, $\angle6$ and $\angle8$ etc.

Answer:

Parallel lines are: $l$ and $m$
Transversal: $n$
Corresponding angles: $\angle1$ and $\angle5$, $\angle2$ and $\angle6$, $\angle3$ and $\angle7$, $\angle4$ and $\angle8$
Alternate interior angles: $\angle3$ and $\angle6$, $\angle4$ and $\angle5$
Alternate exterior angles: $\angle1$ and $\angle8$, $\angle2$ and $\angle7$
Supplementary angles: $\angle1$ and $\angle2$, $\angle3$ and $\angle4$, $\angle5$ and $\angle6$, $\angle7$ and $\angle8$, $\angle1$ and $\angle3$, $\angle2$ and $\angle4$, $\angle5$ and $\angle7$, $\angle6$ and $\angle8$ (among many others)