Question

given ( mparallel n ), find the value of x.
answer attempt 1 out of 2
( x )

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the angles \((x - 4)^{\circ}\) and \((3x+4)^{\circ}\) are supplementary. So, \((x - 4)+(3x + 4)=180\).

Step2: Simplify the equation

Combine like - terms: \(x-4 + 3x+4=180\), which simplifies to \(4x=180\).

Step3: Solve for \(x\)

Divide both sides of the equation \(4x = 180\) by \(4\): \(x=\frac{180}{4}=45\).

Answer:

\(45\)