Alex draws a pair of parallel lines l and m on a paper. His sister draws a line n parallel to the line m. What would be the relation between the lines l, m and n?

The correct answer is: Lines l, m & n are all parallel to each other

"Hint:-
1. Parallel lines- 2 co-planar lines that are equidistant from each other are called Parallel lines. Parallel lines never intersect each other.
2. Measure of angle formed between 2 parallel lines = 0° as they never intersect.

"Step-by-step solution:-
From the given information, we get that-
Line l is parallel to line m.
∴ m∠ formed between line l and line m = 0° ..................................................... (Equation i)
Also, line m is parallel to line n.
∴ m∠ formed between line m and line n = 0° .................................................... (Equation ii)
Equating Equations i & ii, we get-
m∠ formed between line l and line m = m∠ formed between line m and line n.
Since the angles formed between lines l & m and lines m & n are both 0°, we can say that-
lines l , m & n are all parallel to each other.
This can also be observed in the adjacent diagram.
"Final Answer:-
∴ Lines l, m & n are all parallel to each other.