Question

given l || m || n, find the value of x.

Explanation:

Step1: Identify the relationship

Since \( l \parallel m \parallel n \), the corresponding angles formed by the transversal should be equal. The angle \( x^\circ \) and the \( 56^\circ \) angle are corresponding angles (because of the parallel lines and the transversal).

Step2: Determine the value of \( x \)

By the corresponding angles postulate (when two parallel lines are cut by a transversal, corresponding angles are congruent), we have \( x = 56 \).

Answer:

\( x = 56 \)