Which of the following measures an angle greater than 90 degrees?

An obtuse angle is defined as one that measures greater than 90 degrees but less than 180 degrees. This characteristic clearly distinguishes it from acute angles, which measure less than 90 degrees, and right angles, which measure exactly 90 degrees. Additionally, a straight angle measures exactly 180 degrees, so it does not fall within the range of being greater than 90 degrees but less than 180 degrees. Hence, the obtuse angle is the only type among the given choices that satisfies the condition of measuring greater than 90 degrees.