Question

given m||n, find the value of x.

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(10x - 2=4x + 28\).

Step2: Isolate the variable terms

Subtract \(4x\) from both sides: \((10x - 4x)-2=(4x - 4x)+28\), which simplifies to \(6x-2 = 28\).

Step3: Isolate the variable

Add 2 to both sides: \(6x-2 + 2=28 + 2\), getting \(6x=30\).

Step4: Solve for \(x\)

Divide both sides by 6: \(x=\frac{30}{6}\).

Answer:

\(x = 5\)