Question

find the value of x that makes quadrilateral stuv a parallelogram.\
\
\\( x = \square \\)

Explanation:

Step1: Set equal sides (parallelogram property)

For STUV to be a parallelogram, opposite sides are congruent, so $x = 3x - 78$.

Step2: Isolate x terms

Subtract $x$ from both sides: $0 = 2x - 78$.

Step3: Solve for x

Add 78 to both sides, then divide by 2:
$2x = 78$
$x = \frac{78}{2}$

Answer:

$39$