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Fine analysis and skillful practice of junior high school mathematics
It seems that there are conditions, such as shooting parallel light! etc

If it is parallel light, it is

Because CD is parallel to AE and BD is parallel to AF, BD bisects the angle EBC and CD bisects the angle FCB.

So angle EBD= angle BDC, (two straight lines are parallel and the inner angles are equal)

Angle EBD= Angle FAE (two straight lines are parallel and have the same angle)

So angle A= angle BDC