Question

Find the value of u in parallelogram EFGH.
9u–61
6u–37
G
H
E
F
u=

Answer 1

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 \( u \):

1. Subtract \( 6u \) from both sides:

\[
9u - 6u - 61 = -37
\]
\[
3u - 61 = -37
\]

2. Add \( 61 \) to both sides:

\[
3u = -37 + 61
\]
\[
3u = 24
\]

3. Divide by \( 3 \):

\[
u = \frac{24}{3} = 8
\]

Thus, the value of \( u \) in parallelogram \( EFGH \) is:

\[
\boxed{8}
\]