Question

given ( mparallel n ), find the value of x.
answer attempt 1 out of 3
( 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 can set up the equation \(5x - 8=4x + 8\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides of the equation:
\(5x-4x - 8=4x-4x + 8\)
\(x-8 = 8\)
Then add \(8\) to both sides:
\(x-8 + 8=8 + 8\)

Answer:

\(x = 16\)