Answer:
see below
Step-by-step explanation:
the law of sines states that for unknown side value c, known side values a and b and known angle C where angle C is opposite side c,
[tex]c^2 = a^2+b^2-2abcos(C)[/tex]
I won't solve all the problems since practice will help you solidify this skill, but I'll give the solutions to 2 problems as a template for you
1) finding AB
AB = c
c² = 20²+32²-2(20)(32)cos(54)
c = √[20²+32²-2(20)(32)cos(54)] = 25.9
2) finding AB
AB = c
c = √[42²+ 35²-2(42)(35)cos(69)] = 44.0
