Which of the following facts, if true, would allow you to prove that lines l and m are parallel ? a)m< 2+m< 4=180 degrees b)m< 1=m< 8 c)m< 6+m< 3=180 degrees d)m< 7=m< 6

We are given lines l and m and a transversal line to those two given lines.

We need to explain which of the following facts, if true, would allow you to prove that lines l and m are parallel.

Let us describe each given options.

A)m<2+m<4=180 degrees.

m<2 and m<4 makes a line pair. So, it doesn't prove if lines l and m are parallel.

C)m<6+m<3=180 degrees

This statement can't be true. Alternate interior angles can't be sum upto 180 degrees.

D)m<7=m<6

Those are vertical angles, that doesn't make the l and m parallel.

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