Question

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

Answer 1

C. Alternate interior angles theorem

The angles labeled are on the inside of lines l and m and they are also on alternate sides of the unnamed line

:)))

Answer 2

Answer:

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.