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SMO 2013 Junior Round 1 Question 9

SMO · SMO 2013 Junior Round 1

Question 9

Rectangle $ABCD$ has diagonals meeting at $O$. Point $E\in AB$ is such that $CE$ bisects $\angle BCD$. If $\angle ACE=15^\circ$, find $\angle BOE$.

Question illustration
  1. $60^\circ$
  2. $65^\circ$
  3. $70^\circ$
  4. $75^\circ$
  5. $80^\circ$