Two possible diagrams of the triangle are shown below
To find angle B in each triangle, we would apply the law of sines which is expressed as
a/SinA = b/SinB = c/SinC
For either of the triangles, by applying the sine law, we have
33/Sin B = 32/Sin 64
By crossmultiplying, we have
32 SinB = 33 Sin 64
Sin B = (33 Sin 64)/32 = 0.9269
We would find angle B by finding the inverse of sine 0.9269
Thus,
B = Sin^-1(0.9269) = 68
This is an acute angle. B can also be an obtuse angle. Greater than 90 but less than 180 degrees). Thus, another value for B is