Question

two parallel lines are cut by a transversal. one angle is labeled 106°, and another angle is labeled x°. find the value of x (denoted as ( x = square^circ )).

Explanation:

Step1: Identify angle relationship

The two horizontal lines are parallel, and the transversal creates same - side interior angles. Same - side interior angles are supplementary, meaning their sum is \(180^{\circ}\). Let the given angle be \(106^{\circ}\) and the unknown angle be \(x^{\circ}\). So we have the equation \(x + 106=180\).

Step2: Solve for x

Subtract \(106\) from both sides of the equation: \(x=180 - 106\). Calculating the right - hand side, \(180-106 = 74\).

Answer:

\(74\)