Question

find x so that lines l and m are parallel. state the converse u
2.
3.
8x - 9 = 53
8x = 62
x = 75

Explanation:

Step1: Use the converse of the alternate interior angles theorem

If lines \(l\) and \(m\) are parallel, then the alternate interior angles are equal. So, \(8x - 9=53\).

Step2: Solve the equation for \(x\)

Add \(9\) to both sides of the equation: \(8x-9 + 9=53 + 9\), which simplifies to \(8x=62\). Then divide both sides by \(8\): \(x=\frac{62}{8}=\frac{31}{4}=7.75\).

Answer:

\(x = 7.75\)