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, the angles \((8x + 4)^{\circ}\) and \((9x-9)^{\circ}\) are corresponding - angles, so we can set up the equation \(8x + 4=9x - 9\).

Step2: Solve the equation for \(x\)

First, move the terms with \(x\) to one - side of the equation. Subtract \(8x\) from both sides: \(8x+4-8x=9x - 9-8x\), which simplifies to \(4=x - 9\). Then add 9 to both sides: \(4 + 9=x-9 + 9\), so \(x = 13\).

Answer:

\(x = 13\)