Question

if $vx = c$ and $vz = 3c - 60$, find $vx$ in parallelogram $wxyz$.

Explanation:

Step1: Use property of parallelogram diagonals

In a parallelogram, diagonals bisect each other. So \( VZ = 2VX \).
Given \( VX=c \) and \( VZ = 3c - 60 \), substitute into \( VZ = 2VX \):
\( 3c-60=2c \)

Step2: Solve for \( c \)

Subtract \( 2c \) from both sides:
\( 3c-2c-60=2c - 2c \)
\( c-60=0 \)
Add 60 to both sides:
\( c=60 \)

Answer:

\( 30 \)