Question

given (lparallel mparallel n), find the value of (x). (7x - 2)° (5x + 14)°

Explanation:

Step1: Use property of parallel lines

Since \(l\parallel m\parallel n\), the corresponding angles are equal. So, \(7x - 2=5x + 14\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides: \(7x-5x - 2=5x-5x + 14\), which simplifies to \(2x-2 = 14\). Then add 2 to both sides: \(2x-2 + 2=14 + 2\), getting \(2x=16\). Divide both sides by 2: \(x=\frac{16}{2}=8\).

Answer:

\(8\)