Solve for the missing sides and angles

Angle C measures 55.93 degrees
Angle A measures 46.52 degrees
Side a has a length of 240 units

Coordinates are always labeled in this general layout:

Side c has a length of 274 units
Angle B measures 77.55 degrees
Side b has a length of 323 units

A is at coordinates (59, 275)
B is at coordinates (0, 7)
C is at coordinates (240, 7