Question

find the value of x that makes m || n.
x = □

Explanation:

Step1: Use corresponding - angles property

When two parallel lines \(m\) and \(n\) are cut by a transversal, corresponding angles are equal. Here, \(x^{\circ}\) and \(2x^{\circ}\) are supplementary angles (since they form a linear - pair when \(m\parallel n\)). The sum of supplementary angles is \(180^{\circ}\). So, \(x + 2x=180\).

Step2: Combine like - terms

Combining the left - hand side of the equation \(x + 2x = 180\), we get \(3x=180\).

Step3: Solve for \(x\)

Dividing both sides of the equation \(3x = 180\) by 3, we have \(x=\frac{180}{3}\).

Answer:

60