The word pairs below share an interesting property. Can you determine what it is?

FLEE - LAZE
WEST - LUGE
SING - SINEW
WAYS - HINGE
BUSY - REZIP

HINT:
Anagram each word.

Answers:

Each pair of words can be anagrammed into rhyming words:

FEEL - ZEAL
STEW - GLUE
SIGN - SWINE
SWAY - NEIGH
BUYS - PRIZE