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In 2003, the second major problem and the sixth minor problem in the second grade mathematics competition (preliminary contest) in Beijing.
Solution: As shown in the figure, cross D as DE∑AB, and cross BC extension line at point E,

A is AF∨BC, and the straight line DE is at point f,

Connecting BD, it is easy to know that the quadrilateral ABEF is a rectangle, then

EF=AB=CD,∠E=90,∠BAD=∠ADF

∫≈BCD = 150 ,∴∠dce=30,

∴DE= 1/2CD= 1/2EF,

∴D is the midpoint of EF, so,

Yi Zheng delta bed delta AFD (SAS),

∴∠bde=∠adf=∠bad;

∫∠BCD = 150,BC=CD,

∴∠ EBD = 15, and ≈e = 90,

∴∠BDE=75,

∴∠BAD=75。