Question

Does anyone knows how to do that? I need to solve for x

Answer 1

Answer:

$x=17$°

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 $180$°.

Now, with all of this information, we can set up the following equation and solve for $x$:

$115+4x-3=180$

$112+4x=180$ (Simplify LHS by combining like terms)

$112+4x-112=180-112$ (Subtract $112$ from both sides of the equation to isolate $x$)

$4x=68$ (Simplify)

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

$x=17$° (Simplify)

Hope this helps!