Final answer:
Without additional context or a diagram to clarify the relationship between (mangle BC) and (mangle CD), it is not possible to determine the measure of (mangle CD).
Step-by-step explanation:
Given that (mangle BC) is (96°), the provided answer choices suggest there might be a geometric figure involved, such as a circle, where angles are related. However, without more context or a diagram, it's not possible to accurately determine the measure of (mangle CD). This is because we don't know the relationship between (mangle BC) and (mangle CD). Are they complementary, supplementary, or unrelated? Typically, in geometry, additional information or a specific theorem would be required to solve this.