Final answer:
The problem does not provide enough information to conclusively find the measure of angle CBD with the given expressions for angles alone.
Step-by-step explanation:
To find the measure of angle CBD, given that ∠CBD = 5x and ∠B = 2x + 75, we need to recognize that angle CBD and angle B may be related in some specific way, such as being supplementary angles (adding up to 180 degrees) or other geometric relationships, depending on the context provided by the geometry of the problem. However, the problem does not provide enough information to determine this relationship. Thus, without additional information about the angles or the figure they are a part of, we cannot conclusively find the value of angle CBD with the given expressions alone.