9514 1404 393
Answer:
- A = 27.1°
- B = 58.8°
- C = 94.1°
Step-by-step explanation:
An angle can be found using the Law of Cosines.
 c² = a² +b² -2ab·cos(C)
 C = arccos((a² +b² -c²)/(2ab)) = arccos((16² +30² -35²)/(2·16·30))
 C = arccos(-69/960) ≈ 94.1217°
Then another angle can be found using the Law of Sines:
 sin(B)/b = sin(C)/c
 B = arcsin(b/c·sin(C)) ≈ 57.7516°
The third angle can be found from the sum of angles of a triangle.
 A = 180° -94.1217° -58.7516° = 27.1267°
The angles of the triangle are about (A, B, C) = (27.1°, 57.8°, 94.1°).
