Without the figure provided, it's challenging to determine the measure of angle A accurately. However, if we assume some general properties of geometric figures, we can make an educated guess.
If angle A is in a triangle, and it is the smallest angle, then it is likely to be less than 90 degrees. Among the options provided, the closest to that description is option A: 45 degrees.
Please double-check the figure to ensure the accuracy of the answer.