Question

given m||n, find the value of x.
answer attempt 1 out of 2
x =

Explanation:

Step1: Use angle - relationship of parallel lines

Since \(m\parallel n\), the two angles \((x - 30)^{\circ}\) and \((3x-10)^{\circ}\) are supplementary (same - side interior angles). So, \((x - 30)+(3x - 10)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(x+3x-30 - 10=180\), which simplifies to \(4x-40 = 180\).

Step3: Isolate the variable term

Add 40 to both sides of the equation: \(4x-40 + 40=180 + 40\), getting \(4x=220\).

Step4: Solve for \(x\)

Divide both sides by 4: \(x=\frac{220}{4}=55\).

Answer:

\(x = 55\)