What type of angle measures more than \( 90^\circ \) but less than \( 180^\circ \)?

An angle that measures more than ( 90^\circ ) but less than ( 180^\circ ) is defined specifically as an obtuse angle. These angles are characterized by their larger size compared to a right angle, which measures exactly ( 90^\circ ), and they are also less than a straight angle, which measures ( 180^\circ ). Thus, any angle that falls into the range of ( 90^\circ < \text{angle} < 180^\circ ) is categorized as obtuse.

Acute angles, on the other hand, measure less than ( 90^\circ ) and therefore do not fit the criteria of being greater than ( 90^\circ ). A right angle is defined at exactly ( 90^\circ ), and a straight angle is defined at ( 180^\circ ). Therefore, these other classifications do not satisfy the requirements set by the question for angles that lie between ( 90^\circ ) and ( 180^\circ ).