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1954 AMC 12 Question 31

AMC12 · 1954 AMC 12

Question 31

In triangle $ABC,$ $\overline{AB}=\overline{AC},$ $\angle A=40^\circ.$ Point $O$ is within the triangle with $\angle OBC\cong\angle OCA.$ The number of degrees in angle $BOC$ is:
  1. $110$
  2. $35$
  3. $140$
  4. $55$
  5. $70$