https://file.aiquickdraw.com/mathbot/file/1728738984042f79wdkzj.jpg

In the given figure, we are asked to find the value of \( x \). The triangle includes two given angles of \( 125^\circ \) and an external angle of \( 125^\circ \), with the angle \( x^\circ \) being opposite the external angle.

### Steps:
1. **Identify the interior angle**: The angle adjacent to \( x^\circ \) (on the same line as the external angle) is supplementary to the external angle of \( 125^\circ \). Therefore, the adjacent interior angle is:
   \[
   \text{Adjacent interior angle} = 180^\circ - 125^\circ = 55^\circ.
   \]
   
2. **Sum of angles in a triangle**: The sum of the interior angles of any triangle is always \( 180^\circ \). We have two known interior angles: \( 125^\circ \) and \( 55^\circ \). Let’s find \( x \) by subtracting their sum from \( 180^\circ \):
   \[
   x = 180^\circ - (125^\circ + 55^\circ) = 180^\circ - 180^\circ = 0^\circ.
   \]
   
   This result shows that there might be an error in the problem setup, as it leads to a triangle with no remaining angle.

Would you like to review the figure for further clarification or proceed with a different interpretation of the diagram?

Here are some questions you might want to explore:
1. Could you double-check if the angles provided are correctly noted in the problem?
2. Would you like to explore the possibility of a misprint in the problem?
3. Do you want to confirm if the figure should have different angle values?
4. Could there be a specific geometric property being applied that isn't visible?
5. Do you need additional clarification on supplementary and external angles?

**Tip**: Always verify if the sum of the angles in the triangle adds up to \( 180^\circ \), which is a critical property for solving angle-related questions.

In the given figure, find x when two angles of 125° are provided, and x is the remaining angle in a triangle.

This problem involves finding the unknown angle x in a triangle with two given angles of 125° and an exterior angle of 125°. Learn about the sum of angles in a triangle and supplementary angles.

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