Question

given m || n, find the value of x. (8x + 9)° 81°

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the angle \((8x + 9)^{\circ}\) and the \(81^{\circ}\) angle are corresponding angles and are equal. So we set up the equation \(8x+9 = 81\).

Step2: Solve the equation for \(x\)

Subtract 9 from both sides of the equation: \(8x=81 - 9\), which simplifies to \(8x = 72\).

Step3: Isolate \(x\)

Divide both sides of the equation \(8x = 72\) by 8: \(x=\frac{72}{8}=9\).

Answer:

\(x = 9\)