In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in some cases the Law of Sines returns two possible measurements. Consider the diagram below, and assume that m∠B=61∘, ¯¯¯¯¯¯¯¯AB=4.27 cm, and ¯¯¯¯¯¯¯¯AC=3.98 cm.

Using the Law of Sines, determine the value of m∠C. You should notice that there are actually two possible values - list both of them (separated by a comma).
m∠C=  °   

If we assume the diagram is to scale, which value of m∠C makes more sense? Enter the appropriate value.
m∠C=  °   

Using your answer to part (b), determine the length of BC.
¯¯¯¯¯¯¯¯BC=  cm   

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