Question

solve for x.
(54 - 8x)°
(48 - 2x)°
x =
submit

Explanation:

Step1: Identify angle - relationship

Assume lines $JK$ and $IL$ are parallel. Then, the angles $(54 - 8x)^{\circ}$ and $(48 - 2x)^{\circ}$ are corresponding angles. Corresponding angles formed by a transversal intersecting two parallel lines are equal. So, we set up the equation $54 - 8x=48 - 2x$.

Step2: Isolate the variable terms

Add $8x$ to both sides of the equation:
$54 - 8x+8x=48 - 2x+8x$, which simplifies to $54 = 48+6x$.

Step3: Isolate the constant terms

Subtract 48 from both sides: $54 - 48=48 + 6x-48$, resulting in $6 = 6x$.

Step4: Solve for $x$

Divide both sides by 6: $\frac{6}{6}=\frac{6x}{6}$, so $x = 1$.

Answer:

$1$