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Geometry

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Rectangles and Diagonals

GEOM-FAYVWW

If $m\angle NIL=m\angle ILE=m\angle LEN=m\angle ENI=90^{\circ}$, $NL=23$, and $IE=4x-19$, find the value of $x$ in the quadrilateral below.

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A

$-10.5$

B

$4$

C

$10.5$

D

$44$

E

$89$