Question

given ( mparallel n ), find the value of ( x ).
answer attempt 1 out of 2
( 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, \(5x - 8=4x + 8\).

Step2: Solve the equation for \(x\)

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

Answer:

\(x = 16\)