Question

directions: find the value of x so that l || m. 6. 53° (8x - 9)° converse: _

Explanation:

Step1: Use corresponding - angles property

If \(l\parallel m\), then the corresponding 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 \(8x=62\).

Step3: Isolate \(x\)

Divide both sides of the equation \(8x = 62\) by 8: \(x=\frac{62}{8}=\frac{31}{4}=7.75\).

Answer:

\(x = 7.75\)