Question

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

Explanation:

Step1: Identify angle - relationship

Assume the two horizontal lines are parallel. The angles $(54 - 8x)^{\circ}$ and $(48 - 2x)^{\circ}$ are corresponding angles (if the lines are parallel), and corresponding angles are equal. So we set up the equation $54 - 8x=48 - 2x$.

Step2: Solve the equation for x

First, add $8x$ to both sides of the equation:
$54=48 - 2x+8x$.
Simplify the right - hand side: $54 = 48+6x$.
Then subtract 48 from both sides: $54 - 48=6x$, which gives $6 = 6x$.
Finally, divide both sides by 6: $x = 1$.

Answer:

$x = 1$