Question

given m||n, find the value of x. answer attempt 1 out of 2 x =

Explanation:

Step1: Use property of parallel lines

When two parallel lines are cut by a transversal, corresponding - angles are equal. Here, the angles \((x - 17)^{\circ}\) and \((3x+1)^{\circ}\) are corresponding angles. So we set up the equation \(x - 17=3x + 1\).

Step2: Rearrange the equation

Subtract \(x\) from both sides: \(-17 = 3x+1 - x\), which simplifies to \(-17=2x + 1\).

Step3: Solve for \(x\)

Subtract 1 from both sides: \(-17 - 1=2x\), so \(-18 = 2x\). Then divide both sides by 2: \(x=\frac{-18}{2}=-9\).

Answer:

\(x=-9\)