To find the value of \( x \) in the context of angles, it seems we may be dealing with a triangle or a situation involving the sum of angles.
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If the angles are in a triangle: The sum of the angles in a triangle is always 180 degrees. Therefore, we can set up the equation: \[ 74 + 53 + x = 180 \] Combining the known angles: \[ 127 + x = 180 \] Subtracting 127 from both sides: \[ x = 180 - 127 \] \[ x = 53 \text{ degrees} \]
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If the angles are in a straight line: If \( 74^\circ \) and \( 53^\circ \) are angles on a straight line, the sum is 180 degrees. Thus: \[ 74 + 53 + x = 180 \] Which leads to the same calculation, resulting in: \[ x = 53 \text{ degrees} \]
Since both approaches yield the same answer, we conclude:
\[ \boxed{53 \text{ degrees}} \]