Question

what is the value of x?
x = __

Explanation:

Step1: Use the property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are equal. Also, vertical angles are equal. The angle of \(105^{\circ}\) and the angle adjacent to \(x\) (on the same side of the transversal) are supplementary.

Step2: Calculate \(x\)

Since the sum of adjacent angles on a straight - line is \(180^{\circ}\). If one angle is \(105^{\circ}\), then \(x = 180^{\circ}-105^{\circ}\)

Answer:

\(75\)