A reflex angle measures

Options

A. more than `180^(@)` but less than `270^(@)`
B. more than `180^(@)` but less than `360^(@)`
C. more than `90^(@)` but less than `180^(@)`
D. none of these

Answer

To find the measure of a reflex angle, we need to understand the definitions of different types of angles.

### Step-by-Step Solution:

1. **Understanding Angles**:
- An angle is measured in degrees. There are different types of angles based on their measures:
- **Acute Angle**: Measures less than 90 degrees.
- **Right Angle**: Measures exactly 90 degrees.
- **Obtuse Angle**: Measures more than 90 degrees but less than 180 degrees.
- **Straight Angle**: Measures exactly 180 degrees.

2. **Definition of a Reflex Angle**:
- A reflex angle is defined as an angle that is greater than 180 degrees but less than 360 degrees.

3. **Range of Reflex Angles**:
- Therefore, the measure of a reflex angle can be expressed mathematically as:
- \( 180^\circ < \theta < 360^\circ \)
- This means that any angle that falls within this range is considered a reflex angle.

4. **Conclusion**:
- In summary, a reflex angle measures more than 180 degrees and less than 360 degrees.

### Final Answer:
A reflex angle measures between 180 degrees and 360 degrees.

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