we know that
The CPCTC states that corresponding parts of congruent triangles are congruent
so
△XLW≅△XDG.
that means
[tex]XL=XD\\LW=DG\\XW=XG[/tex]
we have
[tex]XL=6.2\ units\\LW=4.5\ units\\XW=5.7\ units[/tex]
therefore
[tex]GX=5.7\ units[/tex]
the answer is
the length of GX is [tex]5.7\ units[/tex]
