An angle measuring `270^(@)` is

Options

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

Answer

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

### Step 1: Understand the types of angles
First, we need to know the classifications 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.
- **Reflex Angle**: Measures more than 180 degrees but less than 360 degrees.
- **Complete Angle**: Measures exactly 360 degrees.

### Step 2: Identify the range for 270 degrees
Next, we need to see where 270 degrees falls within these classifications:
- 270 degrees is more than 180 degrees and less than 360 degrees.

### Step 3: Classify the angle
Since 270 degrees is more than 180 degrees but less than 360 degrees, it falls into the category of a reflex angle.

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

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