Respuesta :

snog

Answer:

[tex]x=17[/tex]°

Step-by-step explanation:

Because the diagonal lines are marked with arrows, we know that they are parallel. The two angles that are marked with measures are same-side interior angles. Same-side interior angles of parallel lines are supplementary, meaning that the sum of their measures is [tex]180[/tex]°.

Now, with all of this information, we can set up the following equation and solve for [tex]x[/tex]:

[tex]115+4x-3=180[/tex]

[tex]112+4x=180[/tex] (Simplify LHS by combining like terms)

[tex]112+4x-112=180-112[/tex] (Subtract [tex]112[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]4x=68[/tex] (Simplify)

[tex]\frac{4x}{4}=\frac{68}{4}[/tex] (Divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=17[/tex]° (Simplify)

Hope this helps!

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