help please for geometry

The value of u in parallelogram FGHI is 16
Further explanation:
A parallelogram is a type of polygon in which two opposite sides are equal and parallel
Given
FG = 5u-16
HI = 2u+32
IF = 8u-89
As the two opposite sides are parallel and equal
FG = HI
[tex]5u-16=2u+32\\Subtracting\ 2u\ from\ both\ sides\\5u-16-2u=2u+32-2u\\3u-16=32\\Adding\ 16\ on\ both\ sides\\3u-16+16=32+16\\3u=48\\Dividing\ both\ sides\ by\ 3\\\frac{3u}{3}=\frac{48}{3}\\u=16[/tex]
The value of u in parallelogram FGHI is 16
Keywords: Parallel lines, Parallelogram
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