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 \(m\parallel n\) are cut by a transversal \(t\), the corresponding - angles are equal. Here, \((3x - 17)^{\circ}\) and \((2x + 2)^{\circ}\) are corresponding angles, so we set up the equation \(3x-17=2x + 2\).

Step2: Solve the equation for \(x\)

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

Answer:

\(x = 19\)