This triangle includes angles $x^\circ$, $50^\circ$, and $96^\circ$. Using the property of a triangle that the sum of the interior angles equals $180^\circ$, we can calculate $x^\circ$ as follows:

$x^\circ + 50^\circ + 96^\circ = 180^\circ$

Simplify:

$x^\circ = 180^\circ - 50^\circ - 96^\circ$

$x^\circ = 34^\circ$

Final Answer:

The value of $x^\circ$ is $34^\circ$.

Would you like further clarification on this? Here are 5 related questions you might explore:

1. What are the properties of a triangle's interior angles?
2. Can we use exterior angles to verify the solution?
3. How do these principles apply to other polygons?
4. What happens when a triangle has one or more obtuse angles?
5. How can angle properties be used in real-world applications?

Tip: Always verify your solution by checking if the angles sum to $180^\circ$.