Question

re two parallel lines with a third line intersecting them.

Explanation:

Step1: Identify angle - relationship

The angle of \(149^{\circ}\) and the angle adjacent to \(x^{\circ}\) are corresponding angles. Since the two lines are parallel, they are equal.

Step2: Use linear - pair property

The angle adjacent to \(x^{\circ}\) is \(149^{\circ}\). A linear - pair of angles sums to \(180^{\circ}\). So \(x + 149=180\).

Step3: Solve for \(x\)

Subtract 149 from both sides of the equation \(x + 149=180\), we get \(x=180 - 149\).
\(x = 31\)

Answer:

\(x = 31\)