Question

what is the value of x?

Explanation:

Step1: Use the property of intersecting lines

When two lines intersect, the vertical angles are equal. Here, we assume the two segments are divided proportionally.

Step2: Set up the equation

If we consider the proportion based on the segments, we can assume \(x = 14\) (by visual inspection of the proportion of the segments in the intersecting - line figure, where the ratio of the segments on one line is similar to the ratio of the segments on the other line).

Answer:

14