Question

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

Explanation:

Step1: Use property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the corresponding - angles are equal. Here, \((7x + 9)^{\circ}\) and \((9x-5)^{\circ}\) are corresponding angles, so we set up the equation \(7x + 9=9x - 5\).

Step2: Solve the equation for \(x\)

First, subtract \(7x\) from both sides: \(7x+9-7x=9x - 5-7x\), which simplifies to \(9 = 2x-5\). Then add 5 to both sides: \(9 + 5=2x-5 + 5\), getting \(14 = 2x\). Finally, divide both sides by 2: \(\frac{14}{2}=\frac{2x}{2}\), so \(x = 7\).

Answer:

\(x = 7\)