Question

given m||n, find the value of x.
(2x + 16)°
(6x+4)°

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(2x + 16=6x + 4\).

Step2: Rearrange the equation

Subtract \(2x\) from both sides: \(16 = 6x+4 - 2x\), which simplifies to \(16 = 4x+4\).

Step3: Isolate the variable term

Subtract 4 from both sides: \(16 - 4=4x\), so \(12 = 4x\).

Step4: Solve for \(x\)

Divide both sides by 4: \(x=\frac{12}{4}=3\).

Answer:

\(x = 3\)