Question

find the value of x that will make k || m.
x =

Explanation:

Step1: Use the property of parallel lines

When \(k\parallel m\), the alternate - interior angles are equal. So, \(6x - 13=4x + 11\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides of the equation: \(6x-4x - 13=4x-4x + 11\), which simplifies to \(2x-13 = 11\).
Add \(13\) to both sides: \(2x-13 + 13=11 + 13\), so \(2x=24\).
Divide both sides by \(2\): \(x=\frac{24}{2}\).

Answer:

\(x = 12\)