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1 Answer

FDE=DFG (alternate angles between parallels DE and GF),

9x+3=14x-27,

30=5x, x=6, FDE=DFG=9x+3=14x-27=57º.

The diagonals of a rectangle are the same length and bisect one another. So they form isosceles triangles.

HGF=HFG=DFG because ∆GHF is isosceles.

DGH+HFG=90º, DGH=90-57=33º.

∆DHG is also isosceles, so GDH=DGH=33º.

DHG=180-33-33=180-66=114º.

by Top Rated User (823k points)

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