Question

what is the value of x?
x =

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines are cut by a transversal, same - side interior angles are supplementary. But here, \(x\) and \(106^{\circ}\) are corresponding angles.

Step2: Apply the corresponding angles postulate

If two parallel lines are cut by a transversal, then corresponding angles are equal. So \(x = 180^{\circ}- 106^{\circ}\)

$$x=74^{\circ}$$

Answer:

\(74\)