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Sergio [31]
3 years ago
15

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

Mathematics
1 answer:
nikdorinn [45]3 years ago
7 0

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}}

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