Question

Answer anybody?? i can't do math like at all lol

Answer 1

Essentially, what we're looking at here are two alternate interior angles.

Wait. What? Alternate interior angles?

It sounds like some super fancy math jargon, but it's a fairly simple concept that I'll try my best to explain. First, let's look at lines L and M as two parallel lines, meaning that these two are lines with equal slopes, and will never intersect. See that line that goes in between the parallel lines L and M? That's called a transversal. It's basically a line that goes through two parallel lines.

Now we know that there's a transversal going through the parallel lines. So what? Well, there's a couple of special attributes to transversals. See the two angles, 7x-7 and 4x+14? As you can tell, these two angles alternate in the interior space between the transversal and the parallel lines.

Alternate interior angles are equal. There's a way to prove that they're equal, but I won't bore you with the specifics since that's not what the question's asking.

If the angles need to be equal for lines L and M to be parallel, we can make an equation that'll solve for x:

7x - 7 = 4x + 14

Subtract 4x from both sides:

7x - 4 x - 7 = 4x - 4x + 14

3x - 7 = 14

Add 7 to both sides:

3x - 7 + 7 = 14 + 7

3x = 21

Divide both sides by 3 to completely isolate x:

$\frac{3x}{3}$ = $\frac{21}{3}$

x = 7

And that's our answer! If you need me to explain anything any further, just ask!

- breezyツ