Use the law of sines to find the missing angle of the triangle find measure C to the nearest the nearest tenth

Answer:
B
Step-by-step explanation:
Using the law of sines then
[tex]\frac{162}{sinC}[/tex] = [tex]\frac{77}{sin24}[/tex] ( cross- multiply )
77 × sinC = 162sin24° ( divide both sides by 77 )
sinC = [tex]\frac{162sin24}{77}[/tex], hence
C = [tex]sin^{-1}[/tex] ( [tex]\frac{162sin24}{77}[/tex] ) = 58.8° → B