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SMO 2014 Senior Round 1 Question 8

SMO · SMO 2014 Senior Round 1

Question 8

In the diagram below, $\triangle ABC$ is a triangle and $D,E,F$ are points on $BC,CA,AB$ respectively. It is given that $BF=BD$, $CD=CE$ and $\angle BAC=48^\circ$. Find the angle $\angle EDF$.

Question illustration
  1. $64^\circ$
  2. $66^\circ$
  3. $68^\circ$
  4. $70^\circ$
  5. $72^\circ$