Question

use the figure below and the given piece of information to determine which lines are parallel and which converse is being used. m∠6 + m∠10 = 180°. determine the parallel lines. parallel lines: converse used:

Explanation:

Step1: Recall parallel - line theorem

If two lines are cut by a transversal and same - side interior angles are supplementary, then the lines are parallel.

Step2: Identify angles

$\angle6$ and $\angle10$ are same - side interior angles formed by lines $c$ and $d$ cut by transversal $b$.

Answer:

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