Question

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

Explanation:

Step1: Use the property of parallel lines

When \( l\parallel m\parallel n\), the sum of the angles \((4x - 8)^{\circ}\) and \((6x+18)^{\circ}\) is \(180^{\circ}\) (supplementary angles). So, \(4x-8 + 6x + 18=180\).

Step2: Simplify the equation

Combine like - terms: \((4x+6x)+(-8 + 18)=180\), which gives \(10x+10 = 180\).

Step3: Solve for \(x\)

Subtract \(10\) from both sides: \(10x=180 - 10\), so \(10x=170\). Then divide both sides by \(10\): \(x=\frac{170}{10}\).

Answer:

\(x = 17\)