Question

directions: find the value of 6. converse:

Explanation:

Step1: Identify angle - relationship

Assume lines \(l\) and \(m\) are parallel. The given angles \(53^{\circ}\) and \((8x - 9)^{\circ}\) are corresponding angles (if \(l\parallel m\)), and corresponding angles are equal. So we set up the equation \(8x-9 = 53\).

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:

\(x = 7.75\)