Final answer:
To solve for angle CBD, information about the base angles of triangle ABC is required, which is not provided. Without it, or another specific characteristic, determining the measure of angle CBD is not possible.
Step-by-step explanation:
To determine the measure of angle CBD using the base angles of triangle ABC, more information is required about triangle ABC. Specifically, we need to know the measures of the base angles or some other characteristic of the triangle that would allow us to calculate the missing angle.
Since this critical information is not provided in the question, it is not possible to accurately determine the measure of angle CBD. Triangles have interior angles that add up to 180 degrees, so if we knew the measures of two angles in a triangle, we could find the third. Without this, or another relationship such as the triangle being isosceles or equilateral, we cannot solve for angle CBD.