Well, you could use the law of cosines to figure it out. Or, what your instructor is probably looking for you do use is one of the theorems/postulates. I know what that theorem says, but I unfortunately can't remember the same of it. The theorem says that "the largest angle...

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Well, you could use the law of cosines to figure it out. Or, what your instructor is probably looking for you do use is one of the theorems/postulates. I know what that theorem says, but I unfortunately can't remember the same of it. The theorem says that "the largest angle will always occur opposite the largest side".

Thus, you have to consider, for angle B, which triangle has side AC as the largest side. That would only be triangle #1, tied with angle A, which is opposite side BC.

You may consider the triangle I have labelled on the attachment. Normally, they aren't labelled like this. Normally, they would have "side A" opposite "angle a" But, you have the sides labelled with 2 letters here. So, I am assuming it is a triangle labelled as such.