Let us have a triangle $\triangle ABC$ and a point $D$ on $BC$ such that $BD = DC = DA.$ If $\angle ABC = 50^\circ,$ then how many degrees are in $\angle ACB$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let us have a triangle $\triangle ABC$ and a point $D$ on $BC$ such that $BD = DC = DA.$ If $\angle ABC = 50^\circ,$ then how many degrees are in $\angle ACB$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
40^\circ
Let us have a triangle $\triangle ABC$ and a point $D$ on $BC$ such that $BD = DC = DA.$ If $\angle ABC = 50^\circ,$ then how many degrees are in $\angle ACB$?
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