Question

find the value of x that makes m || n. (6x + 2)° 56° lines m and n are parallel when x =

Explanation:

Step1: Use the property of parallel lines

When \(m\parallel n\), the corresponding angles are equal. So, \(6x + 2=56\).

Step2: Solve the equation for \(x\)

Subtract \(2\) from both sides of the equation: \(6x=56 - 2\), which simplifies to \(6x = 54\).
Then divide both sides by \(6\): \(x=\frac{54}{6}\).

Answer:

\(9\)