Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(3x - 17=2x + 2\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(3x-2x-17=2x - 2x+2\), which simplifies to \(x-17 = 2\).
Then add 17 to both sides: \(x-17 + 17=2 + 17\).

Answer:

\(x = 19\)