Given the Law of Sines, could $a$ and $b$ be the side lengths of a triangle if $a=3$ and $b=7$ and the angle opposite $a$ is $80°$ and the angle opposite $b$ is $40°$?

• A. No, because the sum of the angles is not $180°$.
• B. Yes, because the Law of Sines is satisfied for these values.
• C. Yes, because any two positive numbers can be side lengths of a triangle.
• D. No, because the Law of Sines is not satisfied for these values.

Answer: (D)