Question

Which of the following lines are parallel, and why?
Picture attached.

A. n || l; Consecutive Interior Angles Converse Theorem

B. a || j; Consecutive Interior Angles Converse Theorem

C. a || j; Alternate Exterior Angles Converse Theorem

D. There are no parallel lines.

Answer 1

@RH Is this another problem you are doing?

Answer 2

Yes, is the correct answer on B?

Answer 3

Thank you for your time

Answer 4

Not B. Those two consecutive interior angles (same-side interior angles) are not supplementary. They sum to 85 + 85 = 170 which is 10 degrees short of 180 degrees. So, not B.

Answer 5

@RH

Answer 6

Hmmm ok. So is it A?

Answer 7

Everything in the diagram looks parallel but that is not what this is about. It is about the theorems.

And, I see no theorem or postulate that supports that any of the shown lines are parallel.

So, I choose: D. There are no parallel lines.

Answer 8

NOT B for this reason:

Not B. Those two consecutive interior angles (same-side interior angles) are not supplementary. They sum to 85 + 85 = 170 which is 10 degrees short of 180 degrees. So, not B.

Answer 9

Oh ok thanks!!! I get it now