The problem is symmetrical in respect to angles C and B:
see figure here.
I arbitrarily assume B < C.
The values of Angles {A, B, C} are given in degrees:

• {70.8934, 30., 79.1066}
• {63.4349, 45., 71.5651}
  • {70, 31.5801, 78.4199}
  • {62.4843, 47.5157, 70.}