Which angle is defined as having a degree measure greater than 180 degrees but less than 360 degrees?

An angle defined as having a degree measure greater than 180 degrees but less than 360 degrees is known as a reflex angle. Reflex angles are measured by taking the larger angle formed between the two rays that comprise the angle, which means they stretch beyond a straight line (180 degrees) but do not complete a full rotation (360 degrees). This category of angles is important in geometry as it helps students understand the relationships between different types of angles and how they can be classified based on their measures.

In contrast, a full angle measures exactly 360 degrees, a straight angle measures exactly 180 degrees, and an acute angle measures less than 90 degrees. Understanding these definitions aids in grasping the concepts of angle measurement and classification, which are fundamental in geometry and its applications.