Question

GUYSSSSS!!!! PLEASE I NEED HELP RIGHT NOWW!!! HELP PLEASE!​

Answer 1

Answer:

$\angle ABC=20^{\circ}$

Step-by-step explanation:

Since each side of a line is 180 degrees, we can write the following system of equations:

$\begin{cases}2x+12y+x+2y=180,\\x+2y+8y-4x=180\end{cases},\\\begin{cases}3x+14y=180,\\-3x+10y=180\end{cases}$

Add both equations to solve for $y$:

$24y=360,\\y=\frac{360}{24}=15$

Now substitute $y=15$ into $3x+14y=180$ to solve for $x$:

$3x+14(15)=180,\\3x=-30,\\x=-10$

Finish by substituting both variables to solve for $\angle ABC$:

$\angle ABC=x+2y,\\\angle ABC=-10+2(15),\\\angle ABC=-10+30=\boxed{20^{\circ}}$