Question

Given l, \parallel, m, \parallel, nl∥m∥n, find the value of x.
l
m
n
x°
47°

Answer 1

From the provided information, we can analyze the situation involving parallel lines and transversals. Let's break it down assuming:

- Lines \( l \) and \( m \) are parallel.
- Line \( n \) serves as a transversal that crosses lines \( l \) and \( m \).
- The angles around this transversal and the parallel lines form specific angle relationships.

Given:
1. There is an angle of \( 47^\circ \) between line \( n \) and line \( m \).
2. We need to find the value of \( x \) which is presumably an angle formed at the intersection of line \( n \) with line \( l \).

According to the properties of parallel lines cut by a transversal:

- Corresponding angles are equal.
- Alternate interior angles are equal.

Since \( l \parallel m \), the angle \( 47^\circ \) will correspond to an angle at line \( l \) which would also be \( 47^\circ \) because they are alternate interior angles.

Thus, if angle \( x \) is the angle formed by line \( n \) intersecting line \( l \), and knowing its corresponding angle at \( m \) is \( 47^\circ\), we conclude:

\[
x = 47^\circ
\]

Thus, the solution is:

\[
\boxed{47}
\]