Question

Which of the following facts, if true, would allow you to prove that lines l and m are parallel ?

Answer 1

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.

B)m<1=m<8

m<1 and m<8 are Alternate Exterior Angles and when Alternate Exterior Angles equal lines 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.

Therefore, only B option is correct option.

B)m<1=m<8.

Answer 2

B becuase they are alternate exterior angles