In this diagram, you are given that lines $c \parallel e$ and $f \parallel g$. The goal is to find the value of angle $x$.

Step-by-Step Solution:

1. Identify Corresponding Angles: Since $c \parallel e$, the angle labeled $124^\circ$ and angle $x$ are corresponding angles. Corresponding angles are congruent when two lines are parallel and are cut by a transversal. Therefore: $x = 124^\circ$

Thus, the value of $x$ is 124°.

Would you like further details or have any other questions?

Here are 5 relative questions to expand on this concept:

1. What are alternate interior angles, and how do they relate to parallel lines?
2. Can you explain the concept of consecutive interior angles in this setup?
3. How would the value of $x$ change if line $c$ was not parallel to line $e$?
4. What role do transversals play in determining angle relationships between parallel lines?
5. How would you calculate $x$ if given only the $96^\circ$ angle?

Tip: When working with parallel lines, corresponding angles, alternate interior angles, and consecutive interior angles often give key insights into solving for unknown angles.