Given that lines $l$, $m$, and $n$ are parallel, the angle $x^\circ$ can be found using the properties of alternate interior angles.

Solution:

1. Since $l \parallel m \parallel n$, the angles formed with the transversal line are congruent.
2. The given angle is $47^\circ$. Since alternate interior angles are equal, the corresponding angle to $47^\circ$ on line $l$ is also $47^\circ$.
3. Therefore, $x = 47^\circ$.

The value of $x$ is $47^\circ$.

Do you want any more details or have questions about this solution?

Here are some related questions for further practice:

1. What is the sum of the angles formed on a straight line?
2. If one of the angles is $60^\circ$, what would be its alternate interior angle?
3. How do you identify corresponding angles in parallel lines?
4. What is the relationship between alternate exterior angles in parallel lines?
5. How do you prove two lines are parallel using angle properties?

Tip: When working with parallel lines, remember that corresponding, alternate interior, and alternate exterior angles are congruent.