Question

find the value of x for which m || n.
the value of x for which m || n is

Explanation:

Step1: Use corresponding - angles property

When \(m\parallel n\), the corresponding angles are equal. So, we set up the equation \(3x - 38=2x + 24\).
\[3x-38 = 2x + 24\]

Step2: Isolate the variable \(x\)

Subtract \(2x\) from both sides of the equation: \(3x-2x-38=2x - 2x+24\), which simplifies to \(x-38 = 24\).
Then add 38 to both sides: \(x-38 + 38=24 + 38\).
\[x=62\]

Answer:

62