Answer:
1. 74.6° = m∠C 65.4° = m∠A a = 2.83
2. Triangle does not exist
Step-by-step explanation:
1. Use the law of sines to find m∠C
sin 40/2 = sin C/3
3sin 40/2 = sin C = .96418...
arcsin .96418... = 74.6° = m∠C
m∠A = 180 - 40 - 74.6 = 65.4°
a/sin 65.4 = 2/sin 40
a = 2 sin 65.4/sin 40 = 2.83
2. sin 95/4 = sin C/5
5sin 95/4 = sin C = 1.2452... which is impossible since the cosine of an angle is ≤ 1
