Answer :

absor201

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

Learn more about parallelograms at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

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