To find the value of \( u \) in parallelogram \( EFGH \), we need to use the properties of a parallelogram. The opposite angles in a parallelogram are equal.
If we denote the angles as follows:
- Angle \( E = 9u - 61 \)
- Angle \( G = 6u - 37 \)
Since \( E \) and \( G \) are opposite angles, we have the equality:
\[ 9u - 61 = 6u - 37 \]
Now, let's solve for \( u \):
- Subtract \( 6u \) from both sides:
\[ 9u - 6u - 61 = -37 \] \[ 3u - 61 = -37 \]
- Add \( 61 \) to both sides:
\[ 3u = -37 + 61 \] \[ 3u = 24 \]
- Divide by \( 3 \):
\[ u = \frac{24}{3} = 8 \]
Thus, the value of \( u \) in parallelogram \( EFGH \) is:
\[ \boxed{8} \]