Question

find fg and gh in parallelogram fghi.
$4s-37$
$s+54$
$9s-90$
$fg = square$
$gh = square$

Explanation:

Step1: Igualar lados opuestos (FG=IH)

$ s + 54 = 9s - 90 $

Step2: Resolver para s

$ 54 + 90 = 9s - s $
$ 144 = 8s $
$ s = \frac{144}{8} = 18 $

Step3: Calcular longitud de FG

$ FG = s + 54 = 18 + 54 = 72 $

Step4: Calcular longitud de GH (GH=FI)

$ GH = 4s - 37 = 4(18) - 37 = 72 - 37 = 35 $

Answer:

$ FG = 72 $
$ GH = 35 $