Respuesta :

Let's apply the Law of Cosines here.  We want the measure of the angle opposite the side with length 16.

Call that angle C.

Then 16^2 = 36^2 + 28^2 - 2(36)(28)cos C.

Solving for C:  cos C = 16^2 - 36^2 - 28^2 
                                     -------------------------  = 0.904, and C = 0.44 rad
                                         -2(28)(36)                           or  C = 25.21 degrees

So each of the 2 equal angles shown has the measure 25.21 degrees.

Unfortunately, I don't know the direction we should go from this point on.