To find $x$, let's analyze the given diagram:

1. The angle marked $50^\circ$ is vertically opposite to the unknown angle $x$.
2. In geometry, vertically opposite angles are equal. This means: $x = 50^\circ$

Thus, the value of $x$ is: $x = 50^\circ$

Would you like more details or have questions about this solution?

Related Questions

1. What are vertically opposite angles, and why are they always equal?
2. How can we determine unknown angles using supplementary angles?
3. What other angle relationships are useful in geometric problems?
4. How can we use linear pairs to find unknown angles?
5. How do alternate interior angles relate in parallel line scenarios?

Tip

Remember, vertically opposite angles are always equal when two lines intersect!