Step 1: Understanding Obtuse Angles.
An obtuse angle is an angle that is greater than 90° but less than 180°. This type of angle is wider than a right angle but smaller than a straight angle.
Step 2: Verifying the Options.
- Option (1): An obtuse angle is defined as an angle greater than 90° but less than 180°, making this the correct answer.
- Option (2): This describes an angle greater than 60°, but not necessarily obtuse.
- Option (3): An angle greater than 180° but less than 360° is a reflex angle, not obtuse.
- Option (4): This is incorrect as option (1) is correct.
Conclusion:
Therefore, the correct answer is (1) Angle greater than 90° but less than 180°.