Question

given ( lparallel mparallel n ), find the value of ( x ). (9x - 6)° (6x + 6)° answer attempt 2 out of 2 ( x=)

Explanation:

Step1: Use property of parallel lines

When $l\parallel m\parallel n$, the corresponding - angles are equal. So, we set up the equation $9x - 6=6x + 6$.

Step2: Solve the equation for $x$

Subtract $6x$ from both sides: $9x-6x - 6=6x-6x + 6$, which simplifies to $3x-6 = 6$.

Step3: Isolate the variable term

Add 6 to both sides: $3x-6 + 6=6 + 6$, getting $3x=12$.

Step4: Solve for $x$

Divide both sides by 3: $\frac{3x}{3}=\frac{12}{3}$, so $x = 4$.

Answer:

$4$