Understanding Interior Angles
In any polygon, the sum of the interior angles can be determined using the formula:
- Sum of interior angles = (n - 2) × 180°
Where n is the number of sides of the polygon.
Finding the Unknown Angle x
In this case, we need to find the unknown angle x when given one angle at 125°. Assuming this is a triangle where the sum of the angles equals 180°, we can set up the equation:
- 125° + x + y = 180°
Here, y represents the other angle in the triangle.
Calculating the Unknown Angle x
To find x, we need to isolate it in the equation. For instance, if we assume y is also another angle, we can manipulate the equation as follows:
- x = 180° - 125° - y
For simplicity, if we’re looking for a scenario where there's only one unknown angle x (and assuming y is known or not needed), we can represent it as:
- x = 180° - 125°
Solving this gives:
- x = 55°
Conclusion
Thus, the value of the unknown interior angle x is:
- x = 55°
This calculation is crucial in geometry, particularly in solving problems related to triangles and polygons. Always remember that the sum of the angles plays a vital role in determining unknown angles.