Given the triangle below, what is m

82.8 degrees

Step-by-step explanation:

The information given here SSS.  That means side-side-side.

So we get to use law of cosines.

Let's enter are values in.

I'm going to a little simplification like multiplication and exponents.

I'm going to some more simplification like addition.

Now time for the solving part.

I'm going to subtract 164 on both sides:

I'm going to divide both sides by -160:

Simplifying left hand side fraction a little:

Now to find B since it is inside the cosine, we just have to do the inverse of cosine.

That looks like one of these:

or

Pick your favorite notation there.  They are the same.

To the calculator now:

Round answer to nearest tenths: