Question

question given m||n, find the value of x. answer attempt 2 out of 2 x = 18/7

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((9x + 4)^{\circ}\) and \((2x+22)^{\circ}\) are corresponding angles and are equal. So we set up the equation \(9x + 4=2x + 22\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(9x-2x + 4=2x-2x + 22\), which simplifies to \(7x+4 = 22\). Then subtract 4 from both sides: \(7x+4 - 4=22 - 4\), getting \(7x=18\). Divide both sides by 7: \(x=\frac{18}{7}\).

Answer:

\(x=\frac{18}{7}\)