Question

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

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(l\), 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:

\(x = 20\)