Question

I need help with this geometry question asap!

Answer 1

No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.

When are Two Lines Proven to be Parallel to each other?

Two lines that are cut across by a transversal can be proven to be parallel to each other if:

• The alternate interior angles along the transversal and on the two lines are congruent [alternate interior angles theorem].
• The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].
• The same-side interior angles along the transversal and on the two lines are supplementary [same-side interior angles theorem].
• The corresponding angles along the transversal and on the two lines are congruent [corresponding  angles theorem].

Thus, given the following information:

m∠2 = 115°

m∠15 = 115°

With only these two angles given, we can't use any of the theorems to prove that any of the two lines are parallel because angle 2 and angle 15 are located entirely on two different transversals that crosses two lines.

In summary, we can conclude that:

D. None of the options are correct.

Learn more about the Parallel lines on:

brainly.com/question/16742265

#SPJ1