Question

from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: ∠lik ≅ ∠ikj prove: il || jk

Explanation:

$\angle LIK$ and $\angle IKJ$ are alternate - interior angles. Since they are congruent, by the alternate - interior angles converse theorem, $\overline{IL}\parallel\overline{JK}$.

Answer:

If alternate - interior angles are congruent, then the lines are parallel.