IMAS 2020–2021 Junior Division — First Round Question 19

In the figure on the right, $ABCDE$ is a pentagon where $\angle BAC=\angle CAD=\angle DAE=40^\circ$, $AC\perp BD$ and $AD\perp CE$. Extend sides $BC$ and $ED$ to meet at point $F$. What is the measure, in degrees, of $\angle BFE$?