To find the value of \( x \) in the context of angles, I'll make a few assumptions since the problem isn't completely clear. It seems like you might be looking for the value of \( x \) in a problem dealing with angles such as in a triangle or around a point.
Scenario 1: Sum of Angles in a Triangle
If \( 114^\circ \), \( 37^\circ \), and \( x \) are angles in a triangle, then:
\[ 114 + 37 + x = 180 \]
Calculating that gives:
\[ 151 + x = 180 \] \[ x = 180 - 151 \] \[ x = 29^\circ \]
Scenario 2: Sum of Angles around a Point
If \( 114^\circ \), \( 37^\circ \), and \( x \) are angles around a point, then:
\[ 114 + 37 + x = 360 \]
Calculating that gives:
\[ 151 + x = 360 \] \[ x = 360 - 151 \] \[ x = 209^\circ \]
Conclusion
Depending on the scenario:
- If the angles are in a triangle, then \( x = 29^\circ \).
- If the angles are around a point, then \( x = 209^\circ \).
Please clarify the context if neither of these scenarios fits!