Question

given m||n, find the value of x.

Explanation:

Step1: Use property of parallel lines

When $m\parallel n$, the corresponding - angles are equal. So, $4x - 1=10x - 49$.

Step2: Rearrange the equation

Subtract $4x$ from both sides: $-1 = 10x-4x - 49$, which simplifies to $-1=6x - 49$.

Step3: Solve for x

Add 49 to both sides: $48 = 6x$. Then divide both sides by 6: $x = 8$.

Answer:

$x = 8$