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A junior high school mathematics () a problem of proving angle, etc.
Proof: Let MC⊥AC be at point C and the extension line of intersection AF be at point M.

It can be proved that ∠MAC=∠DBA, then ∠ AB=CA, ∠ Bad = ∠ ACM = 90, and ∠△ Abd△ CAM ∠ ADB =

∠M, AD = CM and then from cf = cf, ∠ mcf = ∠ DCF = 45, cm = ad = CD, it is proved that △ CDF △ CMF.

∠M= ∠CDF, so∠ ∠ADB=∠CDF.