Question

What must be true for lines a and b to be parallel lines? Select four options. m1 = m2 = 58 x = 20 = 1 = 58 = 58 x = 19 + + m2 = 180

Answer 1

ABGH

Explanation:

Note: Are you sure you need four options? I had the same problem but only with 2 answers........

Answer 2

a, b, g and h.

Explanation:

It's important to know that parallel lines have equal slopes, becasue the condition of parallelism is
`m_(1) =m_(2)`, for line 1 and line 1.

In the image attached you can observe all the given choices. The second image attached shows all lines involved.

Notice that lines a and b are vertical. To be parallels
`\angle 2 = 58\°`, because those angles are corresponding angles. Also,
`\angle 1 = 4x-10`, because those angles are alternate exterior angles.

Using supplementary angles theorem, we have

`4x-10+3x-1+58=180\\7x=180-58+1+10\\x=(133)/(7)= 19`

Therefore, based on the analysis above, the right asnwers are a, b, g and h.