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To calculate the angle \( x \), let's examine the triangle and the angles given:

1. **Identify the given angles**: 
   - We have an angle of \( 126^\circ \) and another angle of \( 58^\circ \) within a triangle. 
   - Let's denote the unknown angle as \( x \).

2. **Sum of angles in a triangle**: 
   - The sum of the angles in any triangle is always \( 180^\circ \).

3. **Set up the equation**:
   \[
   126^\circ + 58^\circ + x = 180^\circ
   \]

4. **Calculate \( x \)**:
   - First, add the known angles:
     \[
     126^\circ + 58^\circ = 184^\circ
     \]
   - Since the total must equal \( 180^\circ \), this would make:
     \[
     x = 180^\circ - 184^\circ
     \]
   - This calculation leads us to realize there may be an error in the labeling or assumptions about angle placement in the diagram.

5. **Observing carefully**:
   Since this approach leads to inconsistency, we need additional clarification on the context of the labeled angles or diagram structure. Please double-check if there’s any additional instruction on angles or assumptions

Calculate the size of angle x. You must show all your working and explain each step of your answer.

Learn how to find the missing angle x in a triangle where two angles are provided. This problem explores the triangle angle sum property, which states that the sum of the angles in a triangle equals 180 degrees. Suitable for students in Grades 6-8.

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