Question

10.) find x so l || m. x = ______

Explanation:

Step1: Identify angle - relationship

When two parallel lines \(l\) and \(m\) are cut by a transversal, corresponding angles are equal. Here, the angle of \(124^{\circ}\) and the angle \((3x + 40)^{\circ}\) are corresponding angles. So, \(3x+40 = 124\).

Step2: Solve the equation for \(x\)

Subtract 40 from both sides of the equation: \(3x=124 - 40\), so \(3x = 84\).

Step3: Isolate \(x\)

Divide both sides of the equation \(3x = 84\) by 3. We get \(x=\frac{84}{3}\).

Answer:

\(x = 28\)