Question

use the figure below and the given piece of information to determine which lines are parallel and which converse is being used. ∠6≅∠8 parallel lines: converse used:

Explanation:

Step1: Recall parallel - line converse

If alternate interior angles are congruent, then the lines are parallel. ∠6 and ∠8 are alternate interior angles formed by lines c and d with transversal a.

Step2: Determine parallel lines

Since ∠6≅∠8, by the converse of the alternate - interior angles theorem, lines c and d are parallel.

Answer:

Parallel Lines: c and d
Converse Used: Converse of the Alternate - Interior Angles Theorem