Question

given (lparallel mparallel n), find the value of (x). (6x - 18)° (4x + 6)° answer attempt 1 out of 2 (x=)

Explanation:

Step1: Use property of parallel lines

Since $l\parallel m\parallel n$, the corresponding - angles or alternate - interior angles are equal. Here, $(6x - 18)^{\circ}$ and $(4x + 6)^{\circ}$ are equal. So we set up the equation $6x-18 = 4x + 6$.

Step2: Solve the equation for $x$

Subtract $4x$ from both sides of the equation: $6x-4x-18=4x - 4x+6$, which simplifies to $2x-18 = 6$.

Step3: Isolate the variable term

Add 18 to both sides: $2x-18 + 18=6 + 18$, getting $2x=24$.

Step4: Solve for $x$

Divide both sides by 2: $\frac{2x}{2}=\frac{24}{2}$, so $x = 12$.

Answer:

$x = 12$