In triangle ABC, base angle A is 30 , and the altitude BD is drawn, IF AB = 7, find BD, BC, DC, AC, and AB.

I can't seem to find \(\angle DBC \) and \(\angle BCD\).

Since you said, "base angle A", does that mean that triangle ABC is isosceles?

If so, the other base angle must be angle BCA (since angle ABC is already at least 60 degrees).