The Plainsmen stayed close to the visitors from Beaverton, Ore., but a key stretch of turnovers hurt Evergreen down the stretch.
Coraleigh Speer scored 15 points for the Plainsmen, and Keyonna Canda added 10 points.
Evergreen got within 44-42, but three consecutive turnovers led to three Sunset baskets and the Apollos held on from there.
SUNSET 56, EVERGREEN 49
SUNSET (Ore.) — Katherine Roth 3, Salma Alsheba 8, Yolanta Penn 6, Malea Cesar 0, Lucy Allen 2, Parris Stark 5, Regan Noonan 0, Lucy Vanveldhuisen 13, Madelyn Dobson 9, Mikaela Byrnes 10. Totals 19 (6) 12-30 56.
EVERGREEN (1-6) — Vita Mikhel 3, Hillary Yoon 3, Keyonna Canda 10, Coraleigh Speer 15, Uriah Gipson 9, Lilyanna Glenn 3, Brooke Bedlion 0, Taylor Demeter 4, Journey Brooks 2. Totals 12 (5) 18-29 49.