To determine the value of \( x \) based on the given angles \( 41° \), \( 83° \), and \( 4° \), we first need to consider whether these angles relate to a geometric figure, such as a triangle or a polygon, where their total sum may be relevant.
If we are assuming these angles are angles in a triangle, we would know that the sum of the angles in a triangle must equal \( 180° \).
So, we can set up the equation as follows:
\[ 41° + 83° + x = 180° \]
Adding the known angles together:
\[ 41° + 83° = 124° \]
Now substituting this back into the equation:
\[ 124° + x = 180° \]
To find \( x \), we can subtract \( 124° \) from both sides:
\[ x = 180° - 124° \]
Calculating this gives:
\[ x = 56° \]
Therefore, the value of \( x \) is \( 56° \).