Question

which lines are parallel? justify your answer.
cf and ne are parallel by the
converse of the alternate interior angles theorem
converse of the alternate exterior angles theorem
converse corresponding angles postulate
converse of the same - side interior angles theorem

Explanation:

The converse of the corresponding angles postulate states that if two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel. In the given diagram, the angles formed by the transversal with lines \(CF\) and \(NE\) are corresponding angles. Since they are congruent (as indicated by the diagram's angle markings), by the converse of the corresponding angles postulate, \(CF\) and \(NE\) are parallel.

Answer:

converse corresponding angles postulate