Spy (2015)

Lying and deceiving others.. both also talk about NIS agents. They are both action too.

IPA is also a Spy drama. Parents have a prominent role in the drama too. IPA is comedy though.

JaeJoong stars in both. Triangle was about him (not so) covertly taking over a city and a business. Spy - he worked for his country. Triangle was better IMO

Both are dramas about secrets, action, romance and with a spy who is charismatic and full of mystery.

Both deals with north korean spies. And in both dramas the female lead has two options: either deceive her boyfriend and continue as a spy, either betray her boss and fight against the side she was.