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

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

Respuesta :

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