Libra on the inside, Sagittarius on the way in.
Your sun in Libra (air, cardinal) is the engine — what thinks at the centre, what starts when you are at home in yourself. Your Sagittarius rising (fire, mutable, ruled by Jupiter) is the door — the way you arrive in a room, the first read the world takes of you, the body you walk in.
Strangers tend to assume you are fast and bold — that is the Sagittarius arriving first. Then they get to know you and discover the Libra air underneath, which can be a layered second read — they have to update their first impression.
Reads as Sagittarius until you trust them; then Libra comes through. The cardinal-mutable mix means you starts on the inside while adapts on the outside — internal and external rhythms are different, which is its own work.