Both dramas are about cheating, broken marriages, and the effect it has on families. Hirugao explores these life themes in depth and leaves you thinking, definitely worth a watch! World of the married is more suspenseful and has you on the edge of your seat. Both have fantastic acting.
The characters of Kim Joo Young and Maya feel similar in certain ways (both are educators and have that dark witch-like style!) but their inner motives are completely different. Both stories are focused on school and education in today's society.