Question

given m||n, find the value of x. (9x - 8)° (4x + 22)° answer attempt 1 out of 3 x =

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((9x - 8)^{\circ}\) and \((4x + 22)^{\circ}\) are corresponding angles and are equal. So, \(9x-8=4x + 22\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides: \(9x-4x-8=4x-4x + 22\), which simplifies to \(5x-8=22\).

Step3: Isolate the variable term

Add 8 to both sides: \(5x-8 + 8=22+8\), getting \(5x=30\).

Step4: Solve for \(x\)

Divide both sides by 5: \(\frac{5x}{5}=\frac{30}{5}\), so \(x = 6\).

Answer:

\(x = 6\)