Question

solve for x.

Explanation:

Step1: Assume parallel lines

If $DE\parallel FG$, then the corresponding - angles are equal. Here, $(124 - x)^{\circ}$ and $(8x + 43)^{\circ}$ are corresponding - angles. So we can set up the equation $124−x = 8x + 43$.

Step2: Rearrange the equation

Add $x$ to both sides of the equation: $124=8x + 43+x$. Combine like - terms to get $124 = 9x+43$.

Step3: Isolate the variable term

Subtract 43 from both sides: $124 - 43=9x$, which simplifies to $81 = 9x$.

Step4: Solve for x

Divide both sides by 9: $x=\frac{81}{9}$.

Answer:

$x = 9$