Question

Given the information in the diagram, determine if m parallel to n. If so, give the theorem or postulate used to support your conclusion.

A.yes; converse of the consecutive interior angles theorem
B.yes; converse of the alternate interior angles theorem
C.yes; converse of the corresponding angles postulate
D.no

Answer 1

The answer is D. Because the interior angles aren’t the same.

Answer 2

Answer with explanation:

There are two lines, m and n Intersected by two Transversal, which intersects at a point on the line such that ,three angles are formed which forms a linear pair.

Now, Sum of Interior angles on the Same Side of transversal

            =32°+90°+57°

           →179°≠180°

Hence , the Lines are not Parallel.

Option D: No

⇒Lines, m and n , are not Parallel.