Let's work through the statements based on the information given.

1. Statement about ∠5 and ∠2:

   • We see that ∠5 and ∠2 are: "Corresponding angles."
   • And since lines l and k are parallel, ∠5 and ∠2 are: "Congruent."
   • Since $m \angle 5 = 44^\circ$, $m \angle 2 = 44^\circ$.

2. Statement about angle addition property:

   • By the angle addition property, $m \angle 4 + m \angle 1 + m \angle 5 = 180^\circ$.
   • Given $m \angle 5 = 44^\circ$ and $m \angle 1 = 102^\circ$: $m \angle 4 = 180^\circ - (102^\circ + 44^\circ) = 34^\circ.$

3. Statement about ∠3 and ∠4:

   • We see that ∠3 and ∠4 are: "Alternate interior angles."
   • And since lines l and k are parallel, ∠3 and ∠4 are: "Congruent."
   • Since $m \angle 4 = 34^\circ$, $m \angle 3 = 34^\circ$.

4. Sum of ∠1, ∠2, and ∠3:

   • $m \angle 1 + m \angle 2 + m \angle 3 = 102^\circ + 44^\circ + 34^\circ = 180^\circ$.

5. Triangle angle sum property:

   • The relationship between ∠1, ∠2, and ∠3 is an example of the following rule:
   • The sum of the interior angle measures of a triangle is 180°.

Would you like further details on any of these steps?

Here are some follow-up questions to deepen understanding:

1. What are corresponding angles, and why are they congruent when lines are parallel?
2. How does the angle addition property work in polygons other than triangles?
3. Why are alternate interior angles congruent for parallel lines?
4. How would the solution change if the values of ∠1 or ∠5 were different?
5. Can we generalize the triangle angle sum property to other polygons?

Tip: When working with parallel lines, remember that corresponding and alternate interior angles play a crucial role in solving for unknown angles.