Question

Find the value of x that will make L||M.
6x + 8
4x + 2
X =[?]

Answer 1

6x+8+4x+2=180

so!! 10x+10=180

10x=170

x=17

Answer 2

`x=17`

Explanation:

The two angles labelled
`6x+8` and
`4x+2` are co-interior angles. When two parallel lines are cut by a traversal, co-interior angles are supplementary, meaning they add up to 180 degrees. Therefore, if line L is parallel to line M,
`6x+8` and
`4x+2` must be supplementary:

`6x+8+4x+2=180`

Combine like terms:

`10x+10=180`

Subtract 10 from both sides:

`10x=170`

Divide both sides by 10:

`x=(170)/(10)=\boxed{17}`