Question

question given m||n, find the value of x. answer accept i out of 2 x = submit answer

Explanation:

Step1: Use property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal, the corresponding - angles are equal. So, we set up the equation \(2x + 2=3x - 17\).

Step2: Solve the equation for \(x\)

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

Step3: Isolate \(x\)

Add 17 to both sides: \(2 + 17=x-17 + 17\), so \(x = 19\).

Answer:

19