Question

If m || n and m <8 = 115°, what is m <2

Answer 1

Answer: OPTION B.

Step-by-step explanation:

When parallel lines are cut by a transversal several angles are formed.

There are pairs of angles called "Alternate Interior angles".

 These angles are not adjacent and they are located between the parallel lines, and on opposite sides of the transversal.

By definition, they are are congruent, or, in other words the measure of Alternate Interior angles are equal.

In this case, you can identify that the $\angle 8$ and the $\angle 2$ are Alternate Interior angles.

Based on the data given in the exercise, you know that the measure of the angle 8 is:

 $\angle 8=115\°$

So, You can determine that the angle 2 have the same measure. This is:

 $\angle 2=115\°$