To solve for $x$, we analyze the given triangle:

Observations:

1. The triangle has angles marked as $x$, $3x$, and $50^\circ$.
2. The sum of all angles in any triangle equals $180^\circ$.

Setting Up the Equation:

$x + 3x + 50 = 180$

Simplify:

$4x + 50 = 180$

Solve for $x$:

1. Subtract $50$ from both sides: $4x = 130$
2. Divide by $4$: $x = 32.5^\circ$

Final Answer:

$x = 32.5^\circ$

Would you like a breakdown of the steps or more examples of similar problems?

Related Questions:

1. What are the measures of the other angles in this triangle?
2. How would the solution change if one angle was labeled differently?
3. Can this method work for all triangles? Why?
4. What is the role of the $180^\circ$ rule in geometry?
5. How would this problem differ if one side length was provided?

Tip:

Always verify your work by checking if the angles add up to $180^\circ$. This ensures your calculations are correct!