Question

From the following figure, why can you not conclude that lines l and m are parallel?

Corresponding angles postulate are not congruent


Alternate exterior angles theorem are not congruent


Alternate interior angles theorem are not congruent


Same side interior angles theorem are not congruent

Answer 1

A

Explanation:

For the lines to be parallel then the 2 corresponding angles would have to be congruent. However, they are not , one is 120 the other is 118

Hence corresponding angles postulate are not congruent.

Answer 2

Answer: Corresponding angles postulate are not congruent

Explanation:

In the given picture , we have two lines ( line l and m) intersecting by a transversal line.

The pair of corresponding angles are 120° and 118°.

But the corresponding angles postulate says that when two parallel lines are cut by a transversal then the corresponding angles formed are congruent .

But 120°≠118°

Hence, l and m are not parallel