Question

question given ( m parallel n ), find the value of ( x ). answer

Explanation:

Step1: Use the property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal, the alternate - interior angles are equal. So, \(5x + 8=6x-18\).

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:
\(x=8 + 18\)

Answer:

\(x = 26\)