Problem 16 (2020 AMC 8)

Each of the points $A$, $B$, $C$, $D$, $E$, and $F$ in the figure below represent a different digit from $1$ to $6$. Each of the five lines shown passes through some of these points. The digits along the line each are added to produce $5$ sums, one for each line. The total of the sums is $47$. What is the digit represented by $B$? [See figure in original PDF]