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SMO 2024 Junior Round 1 Question 4

SMO · SMO 2024 Junior Round 1

Question 4

In the diagram below, the points $B$ and $E$ lie on $AF$ and $DF$ respectively, and $AE$ and $BD$ intersect at $C$. If $AB=AC$, $BD=BF$ and $EA=EF$, find $\angle BAC$.

Question illustration
  1. $30^\circ$
  2. $33^\circ$
  3. $36^\circ$
  4. $38^\circ$
  5. $40^\circ$