Question

given: a || b, how can you prove ∠4 ≅ ∠5?
consecutive(same side) interior angles theorem
alternate interior angles theorem converse
consecutive(same side) interior angles theorem converse
alternate interior angles theorem

Explanation:

When two parallel lines \(a\parallel b\) are cut by a transversal \(p\), alternate interior angles are congruent. \(\angle4\) and \(\angle5\) are alternate interior angles. By the Alternate Interior Angles Theorem, if two parallel lines are cut by a transversal, then alternate interior angles are congruent.

Answer:

Alternate Interior Angles Theorem.