Triangles

[Merida]

Let ∆ABC be an isosceles triangle with AB = AC. Suppose that the angle bisector of ∠B meets AC at D and that BC = BD+AD. Determine ∠A.
This is how I thought of starting off . I don’t know if this method is right . I want help on solving this problem using angle bisect of triangle property

 

[Steven G]

Please finish labeling your diagram. Triangle ABC is isosceles so what do you know about two angles of the triangle. The angle bisector of B did what to angle B (label this!)

Please update your diagram, see what you can do to get closer to finding angle A and post back with your work.