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Huizhou Ermo Mathematical Solution
From the topic, ∠ DBC = 60, ∠ EBC = 30,

∴∠DBE=∠DBC-∠EBC=60 -30 =30。

∫∠BCD = 90,

∴∠BDC=90 -∠DBC=90 -60 =30。

∴∠DBE=∠BDE.

∴BE=DE.

Let EC=x, then DE=BE=2EC=2x, DC=EC+DE=x+2x=3x,

BC=BE2? EC2=(2x)2? x2=3x,

From the topic, ∠ DAC = 45, ∠ DCA = 90, AB=20,

△ ACD is an isosceles right triangle,

∴AC=DC.

∴3x+20=3x,

Solution: x ≈ 15.77.

∴2x≈3 1.5.

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