Question 25
In a triangle $ABC$ with $AC \gt BC \gt AB$. Points $D$ and $K$ are chosen on the sides $BC$ and $AC$ respectively so that $CD = AB$, $AK = BC$. $F$ and $L$ are the midpoints of the segments $BD$ and $KC$ respectively. $R$ and $S$ are the midpoints of the sides $AC$ and $AB$ respectively. The line segments $SL$ and $FR$ intersect at the point $O$, and it is known that $\angle SOF = 55^\circ$. Find $\angle BAC$.