Question

solve for x.
(124 - x)°
(8x + 43)°
x =

Explanation:

Step1: Identify angle - relationship

Assume lines $DE$ and $FG$ are parallel, and $\angle DHI$ and $\angle HIG$ are corresponding angles, so they are equal. Then we set up the equation $124 - x=8x + 43$.

Step2: Rearrange the equation

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

Step3: Solve for $x$

Subtract 43 from both sides: $124 - 43=9x$, so $81 = 9x$. Divide both sides by 9: $x=\frac{81}{9}=9$.

Answer:

$9$