Question

find the value of x that makes lines u and v parallel.

Explanation:

Step1: Use corresponding - angles property

If lines u and v are parallel, the corresponding angles are equal. Here, the angle \(x + 112\) and the \(105^{\circ}\) angle are corresponding angles. So we set up the equation \(x+112 = 105\).

Step2: Solve the equation for x

Subtract 112 from both sides of the equation \(x+112 = 105\). We get \(x=105 - 112\).
\(x=-7\)

Answer:

\(-7\)