Question

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

Answer 1

Answer:

$x=17$

Step-by-step 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:

$x=\frac{170}{10}=\boxed{17}$

Answer 2

Answer:

6x+8+4x+2=180

so!! 10x+10=180

10x=170

x=17