MathNet 2021 — Part 03 Question 45

Question 45

In triangle *ABC*, a point $D$ lies on side $BC$ and a point $E$ lies on side $AC$ such that the line segments $BD$, $DE$, and $AE$ have the same length. The point $F$ is the intersection between the line segments $AD$ and $BE$. Angle $C$ is $68^\circ$.
What is the size of angle $F$ in triangle $AFB$?

Question illustration

$120^\circ$
$121^\circ$
$122^\circ$
$123^\circ$
$124^\circ$