Question

given m || n, find the value of x.

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the angles \((8x - 10)^{\circ}\) and \(126^{\circ}\) are corresponding angles and are equal. So we set up the equation \(8x-10 = 126\).

Step2: Solve the equation for \(x\)

Add 10 to both sides of the equation: \(8x-10 + 10=126 + 10\), which simplifies to \(8x=136\).
Then divide both sides by 8: \(x=\frac{136}{8}=17\).

Answer:

\(x = 17\)