From the following figure, how can you conclude that lines l and m are parallel? a) corresponding angles postulate b) alternate exterior angles theorem c) alternate interior angles theorem d) same side interior angles theorem

C) Alternate interior angles theorem.

Step-by-step explanation:

Given : Figure with two line l and m ans alternates interior angle 70°

To find : how can you conclude that lines l and m are parallel.

Solution : We have given that two line l and m ans alternates interior angle 70°.

Two angle are alternate and interior to the line l and m .

Hence they are congruent to each other .

By the alternates interior angle theorem :   if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Therefore, C) Alternate interior angles theorem.

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