For which value of x is line l parallel to line m?

A. 28
B. 62
C. 22
D. 68

For line l parallel to line m, the interior angles on the same side of the transversal should add upto 180° or in better words, they must be supplementary.

So, we can write that,

(2x + 6)° and 130° are supplementary.

⇛ 2x° + 6° + 130° = 180°

⇛ 2x° + 136° = 180°

⇛ 2x° = 44°

⇛ x° = 22°

The value of x for which line l is parallel to line m,

And we are done !!

#CarryOnLearning....

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step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.