Final answer:
Given the measurements, there are zero possible solutions for angle b because the lengths of the sides do not correspond to the measures of the angles in a triangle, creating a non-physical situation.
Step-by-step explanation:
We are looking for the number of possible solutions in a triangle where one angle and the sides adjacent to it are known. This type of triangle problem is related to the Law of Sines, which states that for any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. However, the information provided suggests a non-physical situation: side A opposite to angle A is shorter than side b, yet angle A is also the smaller angle compared to angle b (not given but its size can be inferred). In a triangle, the larger side always lies opposite the larger angle, which would imply that side A must be larger than side b if angle A is smaller than angle b. Given that this is not the case, this arrangement is impossible, and no such triangle can exist. Therefore, there are zero possible solutions for angle b.