Question

use the figure below and the given piece of information to determine which lines are parallel and which converse is being used to determine the parallel lines. m∠5 + m∠9 = 180°. parallel lines: converse used:

Explanation:

Step1: Recall parallel - line postulates

When two lines are cut by a transversal, if same - side interior angles are supplementary, then the two lines are parallel. ∠5 and ∠9 are same - side interior angles.

Step2: Identify parallel lines

Since m∠5 + m∠9=180°, by the converse of the same - side interior angles postulate, the lines cut by the transversal containing ∠5 and ∠9 are parallel. The lines are c and d.

Answer:

Parallel Lines: c and d
Converse Used: Converse of the Same - Side Interior Angles Postulate