Question

given the following information, determine which lines, if any, are parallel. 13. state the converse that justifies your answer. given parallel lines converse ∠10 ≅ ∠15

Explanation:

Step1: Recall the alternate interior angles converse

If two lines are cut by a transversal and the alternate interior angles are congruent, then the two lines are parallel.

Step2: Analyze the given angles

Given \(\angle10\cong\angle15\). These angles are alternate interior angles formed by lines \(j\) and \(k\) and a transversal.

Answer:

parallel lines \(j\) and \(k\), converse alternate interior angles converse