Question

given ( mparallel n ), find the value of ( x ).

Explanation:

Step1: Use the property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the alternate - interior angles are equal. So, we have the equation \(4x - 4=5x - 29\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides of the equation:
\(4x-4 - 4x=5x - 29-4x\)
\(-4=x - 29\)
Then add \(29\) to both sides:
\(-4 + 29=x-29 + 29\)
\(x = 25\)

Answer:

\(25\)