Question 18
A right triangle $ABC$ with the right angle at $A$ is given. Points $D$, $E$ and $F$ lie on the sides $AB$, $BC$ and $CA$, respectively, such that $|BD| = |BE|$ and $|CF| = |CE|$ (see the figure). What is the size of the angle $\angle FED$ in degrees?
(A) 30
(B) 37.5
(C) 45
(D) 52.5
(E) It is impossible to determine, since the answer depends on the size of the angle $\angle CBA$.
(A) 30
(B) 37.5
(C) 45
(D) 52.5
(E) It is impossible to determine, since the answer depends on the size of the angle $\angle CBA$.