  Using very general arguments, we prove that any entanglement measures based
on distance must be maximal on pure states. Furthermore, we show that Bures
measure of entanglement and geometric measure of entanglement satisfy the
monogamy inequality on all pure multiqubit states. Finally, using the power of
Bures measure of entanglement and geometric measure of entanglement, we present
a class of tight monogamy relations for pure states of multiqubit systems.
