Question

given l || m || n, find the value of x. (7x + 11)° (3x + 19)°

Explanation:

Step1: Use property of parallel lines

When \(l\parallel m\parallel n\), the corresponding angles are equal. So, \(7x + 11=3x + 19\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(7x-3x + 11=3x-3x + 19\), which simplifies to \(4x+11 = 19\). Then subtract 11 from both sides: \(4x+11 - 11=19 - 11\), getting \(4x=8\). Divide both sides by 4: \(x=\frac{8}{4}=2\).

Answer:

\(x = 2\)