To solve for $x$ in this triangle:

1. The sum of the angles in a triangle always equals $180^\circ$.

2. The given angles are $79^\circ$ and $65^\circ$.

3. The equation to find $x$ is: $79^\circ + 65^\circ + x = 180^\circ$

4. Simplify: $144^\circ + x = 180^\circ$

5. Solve for $x$: $x = 180^\circ - 144^\circ = 36^\circ$

Thus, $x = 36^\circ$.

Would you like a more detailed breakdown or have any further questions?

Related Questions:

1. How do you verify the sum of angles in a triangle?
2. What are some methods for solving missing angles in other polygons?
3. Why does the sum of angles in a triangle equal $180^\circ$?
4. How would this calculation change for a non-Euclidean triangle?
5. What real-world problems use triangle angle calculations?

Tip: Always double-check your calculations when solving for missing angles to ensure accuracy.