Question

given m||n, find the value of x. (6x - 18)° (5x + 8)° answer attempt 1 out of 2 submit answer

Explanation:

Step1: Use property of parallel lines

When two parallel lines \(m\) and \(n\) are cut by a transversal, the corresponding - angles are equal. So, we set up the equation \(6x - 18=5x + 8\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides of the equation: \(6x-5x - 18=5x-5x + 8\), which simplifies to \(x-18 = 8\). Then add 18 to both sides: \(x-18 + 18=8 + 18\).

Answer:

\(x = 26\)