Question

given ( mparallel n ), find the value of ( x ).
answer attempt 1 out of 4
( x=)

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the angles \((5x - 8)^{\circ}\) and \((4x + 8)^{\circ}\) are equal. So, \(5x-8=4x + 8\).

Step2: Solve the equation for \(x\)

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

Answer:

\(x = 16\)