Which of the following are types of angles based on their measure?

The classification of angles based on their measures includes specific types that define their properties. Acute angles are those that measure less than 90 degrees, making them sharp in appearance. Right angles are precisely 90 degrees and are often marked with a square corner symbol. Obtuse angles fall between 90 degrees and 180 degrees, giving them a wider appearance compared to acute angles.

Option B accurately identifies these three categories—acute, right, and obtuse—because they correctly encompass the typical angle measures used in geometry. Understanding these classifications is important, as they help in various geometric calculations and reasoning, such as determining angle relationships and solving problems involving shape properties.

The other options include angles that do not fit the criteria for a specific measurement-based classification or mix terms that serve different purposes in geometry. For example, while complementary angles refer to a pair of angles that sum to 90 degrees, they don't define a type by measurement alone and thus do not fit in a list based only on types of angles by measure.