Find the value of x in the given figure where a || b, c || d.

Based on the image, we have two parallel lines (a) and (b) intersected by two other parallel lines (c) and (d). One angle is given as (105^circ), and we need to find the value of angle (x).

Since (a parallel b), the angle adjacent to the (105^circ) angle on line (b) is supplementary to (105^circ). That means this angle is (180^circ - 105^circ = 75^circ).

Since (c parallel d), the angle (x) corresponds to the (75^circ) angle. Corresponding angles formed by parallel lines are equal. Therefore, (x = 75^circ).