Question

given m||n, find the value of x. (7x + 9)° (9x - 5)°

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((7x + 9)^{\circ}\) and \((9x-5)^{\circ}\) are corresponding angles and are equal. So we set up the equation \(7x + 9=9x - 5\).

Step2: Solve for \(x\)

First, move the \(x\) - terms to one side and the constants to the other side. Subtract \(7x\) from both sides: \(9=9x-7x - 5\), which simplifies to \(9 = 2x-5\). Then add 5 to both sides: \(9 + 5=2x\), so \(14 = 2x\). Divide both sides by 2: \(x=\frac{14}{2}=7\).

Answer:

\(x = 7\)