In the given figure, it is stated that the measure of angle 2 ($m\angle 2$) is $70^\circ$. The diagram shows two parallel lines $r$ and $s$, with a transversal $q$ intersecting them.

By the properties of parallel lines and transversals, angle 2 and angle 5 are corresponding angles. Corresponding angles are congruent, meaning they have the same measure when the lines are parallel.

Thus, $m\angle 5 = m\angle 2 = 70^\circ$.

So, $m\angle 5 = 70^\circ$.

Would you like more details on parallel line properties or angle relationships?

Here are 5 related questions you could consider:

1. What are the properties of alternate interior angles?
2. How can we identify vertically opposite angles in this diagram?
3. What is the measure of angle 4 in the diagram?
4. Are angles 3 and 6 congruent? Why or why not?
5. How would the answer change if the lines $r$ and $s$ were not parallel?

Tip: When working with parallel lines and transversals, corresponding angles, alternate interior angles, and vertically opposite angles often share congruent properties.