Final answer:
In the context of parallel lines and a transversal, the corresponding angles theorem assures that angles 1 and 7, angles 2 and 6, and angles 3 and 5 are congruent. Angle 5 does not necessarily equal angle 7 unless additional information confirms they have a specific relationship.
Step-by-step explanation:
The question you're asking pertains to the properties of parallel lines cut by a transversal. According to the corresponding angles postulate, when two parallel lines are cut by a transversal, the corresponding angles are congruent. This means that the pairs (∠1 ≅ ∠7), (∠2 ≅ ∠6), and (∠3 ≅ ∠5) are indeed equal because they are pairs of corresponding angles. However, ∠5 and ∠7 are not generally congruent unless specific conditions are met (such as the angles also being alternate interior angles), which is not indicated in the information provided. If we stick strictly to the corresponding angles theorem, only the pairs mentioned above as congruent will be true without any additional geometric context.