question: In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
  Choices:
  A.15*\degree
  B.30*\degree
  C.45*\degree
  D.60*\degree
  E.75*\degree
query_wo: Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
  Question: In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
  Choices:
  A.15*\degree
  B.30*\degree
  C.45*\degree
  D.60*\degree
  E.75*\degree
query_cot: 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: In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
  Choices:
  A.15*\degree
  B.30*\degree
  C.45*\degree
  D.60*\degree
  E.75*\degree
question_for_eval: In triangle ABC above, the bisector of angle BAC is AD. The length of AB is equal to the length of AC. If AB = 6 and BD = 3, what is the measure of angle BAC?
  Choices:
  A.15*\degree
  B.30*\degree
  C.45*\degree
  D.60*\degree
  E.75*\degree