Final answer:
None of the options provided (90°, 180°, 270°, 360°) correctly describe an obtuse angle, which is greater than 90 degrees and less than 180 degrees. The student should seek clarification for the accurate value.
Step-by-step explanation:
An obtuse angle is defined as any angle greater than 90 degrees but less than 180 degrees. Given the provided options for the value of the obtuse angle:
- a) The obtuse angle is 90°.
- b) The obtuse angle is 180°.
- c) The obtuse angle is 270°.
- d) The obtuse angle is 360°.
Options a), c), and d) are incorrect as 90° is a right angle, 270° is a reflex angle, and 360° is a full rotation, none of which are defined as obtuse. The correct answer is:
b) The obtuse angle is 180°.
However, option b) also incorrectly describes an obtuse angle since it is actually a straight angle which measures exactly 180 degrees. The correct choice must be determined differently, as none of the provided options are accurate descriptions of an obtuse angle. In this case, the best course of action would be to seek clarification or more information about the question from the source.