Question

given that ∠2≅∠6. which theorem proves that d||e? converse of the alternate exterior angle theorem alternate interior angle theorem alternate exterior angle theorem converse of the alternate interior angle theorem

Explanation:

$\angle2$ and $\angle6$ are alternate interior angles. The converse of the alternate - interior angle theorem states that if two lines are cut by a transversal and the alternate interior angles are congruent, then the two lines are parallel. Here, since $\angle2\cong\angle6$, we use the converse of the alternate interior angle theorem to prove $d\parallel e$.

Answer:

Converse of the alternate interior angle theorem