Triangle E B C is shown with its exterior angles. Line E C extends through point F. Line C B extends through point A. Line B E extends through point D. Which statements regarding the diagram of ΔEBC are true? Select three options.

∠BEC is an exterior angle.
∠DEC is an exterior angle.
∠ABE and ∠EBC are supplementary angles.
∠BCF and ∠DEC are supplementary angles.
∠BEC is a remote interior angle to exterior ∠BCF.