Question

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

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal, consecutive interior angles are supplementary. So, \((2x + 16)+(6x + 4)=180\).

Step2: Simplify the equation

Combine like - terms: \(2x+6x+16 + 4=180\), which gives \(8x+20 = 180\).

Step3: Solve for \(x\)

Subtract \(20\) from both sides: \(8x=180 - 20\), so \(8x=160\). Then divide both sides by \(8\): \(x=\frac{160}{8}\).

Answer:

\(x = 20\)