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

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

• A. Acute angle
• B. Obtuse angle
• C. Right angle
• D. Straight angle

Answer: (B)

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 \( 180^\circ \).

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 ).