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, the angles \((5x + 8)^{\circ}\) and \((6x-18)^{\circ}\) are corresponding angles, so we set up the equation \(5x + 8=6x - 18\).
\[5x + 8=6x - 18\]

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides of the equation:
\[5x+8-5x=6x - 18-5x\]
\[8=x - 18\]
Then add 18 to both sides:
\[8 + 18=x-18 + 18\]
\[x=26\]

Answer:

\(x = 26\)