Final Answer:
The value of x is n.
Step-by-step explanation:
In the given scenario, the notation "l ∥ m" indicates that line l is parallel to line m. Furthermore, "nl ∥ m ∥ n" implies that line n is parallel to both line m and line l. When two lines are parallel, corresponding angles are equal. Therefore, the angles formed by lines l and n with line m are equal. As x represents an angle, in this context, it refers to the angle formed by lines l and m. Given that lines l and n are parallel to m, the angles formed by these lines with m are equal, and hence, x is equal to the angle formed by lines n and m. Therefore, the value of x is n.
To illustrate, consider the scenario where lines l and n are parallel to line m, forming corresponding angles. Let the angle formed by lines l and m be denoted as x. Due to the parallelism of lines l and n, the angle formed by lines n and m is also x. Hence, the value of x is n, as it represents the angle formed by lines n and m in this parallel configuration.
In conclusion, through the understanding of parallel lines and corresponding angles, it can be deduced that the value of x in the given scenario is n. This conclusion is based on the geometric properties of parallel lines and their angles, establishing a clear relationship between the angles formed by these lines.