As shown in the figure, in triangle ABC, angle BAC = 90.0, AD perpendicular  BC at point D, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()
Choices:
A:45°
B:20°
C:30°
D:25°
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: As shown in the figure, in triangle ABC, angle BAC = 90.0, AD perpendicular  BC at point D, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()
Choices:
A:45°
B:20°
C:30°
D:25°
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: As shown in the figure, in triangle ABC, angle BAC = 90.0, AD perpendicular  BC at point D, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()
Choices:
A:45°
B:20°
C:30°
D:25°