Question

given m||n, find the value of x. (8x + 6)° (4x + 30)°

Explanation:

Step1: Use property of parallel - lines

Since \(m\parallel n\), the corresponding angles are equal. So we can set up the equation \(8x + 6=4x + 30\).

Step2: Move terms with \(x\) to one - side

Subtract \(4x\) from both sides of the equation: \(8x-4x + 6=4x-4x + 30\), which simplifies to \(4x+6 = 30\).

Step3: Isolate the term with \(x\)

Subtract 6 from both sides: \(4x+6 - 6=30 - 6\), getting \(4x=24\).

Step4: Solve for \(x\)

Divide both sides by 4: \(\frac{4x}{4}=\frac{24}{4}\), so \(x = 6\).

Answer:

\(x = 6\)