To solve for $x$ in this triangle problem, we can use the concept of exterior angles.

Solution:

The exterior angle (67°) is equal to the sum of the two opposite interior angles of the triangle.

Thus: $x + 50 = 67$

Solving for $x$: $x = 67 - 50$ $x = 17$

Answer:

The value of $x$ is $17^\circ$.

Would you like a detailed breakdown of the steps? Let me know if you have further questions.

Related Questions:

1. What is the sum of all interior angles in a triangle?
2. How can you identify an exterior angle in any polygon?
3. What other methods could solve for $x$ in similar exterior angle problems?
4. How does this problem change if the exterior angle were on a different side of the triangle?
5. Can we use trigonometric ratios in triangles with known angle values?

Tip:

Remember that the exterior angle theorem is a quick way to find unknown angles without needing all interior angles.