MathNet 2017-part-01 — 176 problems (EN–VI) Question 68

Points $K$ and $M$ are the midpoints of the sides $AB$ and $AC$ of triangle $ABC$, respectively. The equilateral triangles $AMN$ and $BKL$ are constructed on the sides $AM$ and $BK$ to the exterior of the triangle $ABC$. Point $F$ is the midpoint of the segment $LN$.
Find the value of the angle $KFM$.