The question in the image asks for the value of $x$ in a triangle. The triangle has angles labeled $30^\circ$, $120^\circ$, and $x$.

Since the sum of angles in a triangle is always $180^\circ$, we can solve for $x$ as follows:

$x = 180^\circ - 30^\circ - 120^\circ$

Calculating this:

$x = 180^\circ - 150^\circ = 30^\circ$

Thus, the value of $x$ is $30^\circ$.

Would you like more details or have any questions?

1. Why is the sum of angles in a triangle always $180^\circ$?
2. How can we apply this method to different types of triangles?
3. What is the importance of understanding angle sum properties in geometry?
4. Can this property be used for non-triangular polygons?
5. How do different triangle types (e.g., isosceles, equilateral) affect angle calculations?

Tip: Always remember that the sum of interior angles of a triangle in Euclidean geometry is $180^\circ$.