Question

Prove that alternate interior angles 3 and 6 are congruent.

Answer 1

The prove of alternate interior angles 3 and 6 are congruent is completed with vertical angle theorem, corresponding angles and transitive property of congruence.

How to complete the proof

The two column proof is written as follows

Statement Reason

∠ 3 ≅ ∠ 2 Vertical angles are congruent

∠ 6 ≅ ∠ 2 Corresponding angles are congruent

∠ 3 ≅ ∠ 6 Transitive property of congruence

Answer 2

According to the given picture we can see that m is parallel to n and both lines are cut by a transversal, therefore, the alternate interior angles 3 and 6 are congruent.

So, ∠3≅∠6