An angle measuring `270^(@)` is

Options

A. an obtuse angle
B. an acute angle
C. a straight line
D. a reflex angle

Answer

To determine the type of angle measuring 270 degrees, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Angles**: First, we need to understand the different types of angles based on their measurements:
- **Acute Angle**: An angle that measures less than 90 degrees.
- **Right Angle**: An angle that measures exactly 90 degrees.
- **Obtuse Angle**: An angle that measures more than 90 degrees but less than 180 degrees.
- **Straight Angle**: An angle that measures exactly 180 degrees.
- **Reflex Angle**: An angle that measures more than 180 degrees but less than 360 degrees.

2. **Identifying the Measurement**: We are given an angle measuring 270 degrees.

3. **Locating 270 Degrees**: To visualize this, we can think of a circle:
- Start at 0 degrees (the right side of the circle).
- Move counterclockwise to 90 degrees (upwards).
- Continue to 180 degrees (the left side of the circle).
- Finally, move to 270 degrees (downwards).

4. **Classifying the Angle**: Since 270 degrees is more than 180 degrees but less than 360 degrees, it falls into the category of a reflex angle.

5. **Conclusion**: Therefore, an angle measuring 270 degrees is classified as a **reflex angle**.