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Which of the following statements BEST proves that lines k and m are parallel?

A. Angle 2 is congruent to angle 6 because corresponding angles are congruent if two parallel lines are cut by a transversal.


B. Angle 3 is congruent to angle 4 because supplementary angles are congruent if two parallel lines are cut by a transversal.


C. Angle 1 is congruent to angle 6 because alternate exterior angles are congruent if two parallel lines are cut by a transversal.


D. Angle 4 is congruent to angle 5 because alternate interior angles are congruent if two parallel lines are cut by a transversal.

Use the picture to answer the following question Which of the following statements BEST proves that lines k and m are parallel A Angle 2

Answer :

The statement which best proves that lines k and m are parallel is: C. Angle 1 is congruent to angle 6 because alternate exterior angles are congruent if two parallel lines are cut by a transversal.

What are parallel lines?

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

What is the alternate exterior angle theorem?

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed are congruent or angles of equal measure.

In this context, we can reasonably infer and logically deduce that the statement which best proves that lines k and m are parallel is angle 1 is congruent to angle 6 because by definition all alternate exterior angles are congruent, if two parallel lines are cut by a transversal.

Read more on alternate exterior angle here: brainly.com/question/24839702

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