can you help me to solve each triangle described below using ΔABC :

1)a = 10, A = 16°, B = 49°

2)a = 8, b = 7, A = 88°

1 answer

A+B+C=180°, so C=115°
Now use law of sines:

b/sin49° = c/sin115° = 10/sin16°

#2:

sin88°/8 = sinB/7, so
B = 61° or 109°
But, since A=88°, B cannot be 109°, so there's no ambiguous case here.
Now you know A and B, so you can find C and c as above.