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:

\(x = 26\)