Horizontal and parallel lines m and n are cut by transversal k. At the intersection of lines k and m, the bottom left angle is 50 degrees. At the intersection of lines k and n, the uppercase right angle is 50 degrees. Which theorem correctly justifies why the lines m and n are parallel when cut by transversal k? converse of the corresponding angles theorem converse of the alternate interior angles theorem converse of the same side interior angles theorem converse of the alternate exterior angles theorem

The theorem correctly justifies why the lines m and n are parallel when cut by transversal k converse of the alternate interior angles theorem

What is alternate interior angles theorem?

The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines.

According to the ques

m and n are horizontal parallel line and k is transverse

The intersection of lines k and m, the bottom left angle = 50 degrees

The intersection of lines k and n, the uppercase right angle = 50 degrees.

Now,

Both angles are equal because of the theorem of alternate interior angles or line are parallel because of this theorem .

Hence, The theorem correctly justifies why the lines m and n are parallel when cut by transversal k converse of the alternate interior angles theorem

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