Question

What is m∠V?

Answer 1

We know that
Applying the law of cosines

c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]

in this problem

a=7.6 in

b=8.6 in

c=7.4 in

C=angle V

 cos C=[7.6²+8.6²-7.4²]/[2*7.6*8.6]----> 0.5887

C=arc cos (0.5887)--------> C=53.93°-------> C=53.9°

the answer is

angle V is 53.9°