https://file.aiquickdraw.com/mathbot/file/173038378142805ahwslf.jpg

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.

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### 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.

A side of the triangle below has been extended to form an exterior angle of 67°. Find the value of x.

Learn how to find the unknown angle x in a triangle using the exterior angle theorem. This problem involves geometry concepts suitable for Grades 6-8 and provides a step-by-step solution.

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