Math Problem Statement

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

Solution

To calculate the angle xx, let's examine the triangle and the angles given:

  1. Identify the given angles:

    • We have an angle of 126126^\circ and another angle of 5858^\circ within a triangle.
    • Let's denote the unknown angle as xx.
  2. Sum of angles in a triangle:

    • The sum of the angles in any triangle is always 180180^\circ.
  3. Set up the equation: 126+58+x=180126^\circ + 58^\circ + x = 180^\circ

  4. Calculate xx:

    • First, add the known angles: 126+58=184126^\circ + 58^\circ = 184^\circ
    • Since the total must equal 180180^\circ, this would make: x=180184x = 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

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Math Problem Analysis

Mathematical Concepts

Angle Calculation
Triangle Properties
Sum of Angles in a Triangle

Formulas

Sum of angles in a triangle: 180°

Theorems

Triangle Angle Sum Theorem

Suitable Grade Level

Grades 6-8