As shown in the figure, when the triangle ABC paper is folded along De, and point a falls inside the quadrilateral BCDE, the quantitative relationship between ∠ A and ∠ 1 + 2 is

As shown in the figure, when the triangle ABC paper is folded along De, and point a falls inside the quadrilateral BCDE, the quantitative relationship between ∠ A and ∠ 1 + 2 is

∠1=180-2∠def
∠2=180-2∠edf
∠def+∠edf=180-∠f
∴∠1+∠2=360-2(∠def+∠edf)=360-2(180-∠f)=2∠f=2∠a
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