Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\parallel n\), the angle \((9x - 10)^{\circ}\) and \(35^{\circ}\) are corresponding angles. So, \(9x-10 = 35\).

Step2: Solve the equation for \(x\)

Add 10 to both sides of the equation: \(9x=35 + 10\), which simplifies to \(9x=45\). Then divide both sides by 9: \(x=\frac{45}{9}=5\).

Answer:

\(x = 5\)