The sum of the angles of a quadrilateral is ......... .

Options

A. `260^(@)`
B. `360^(@)`
C. `460^(@)`
D. `160^(@)`

Answer

To find the sum of the angles of a quadrilateral, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Quadrilateral**:
A quadrilateral is a four-sided polygon. It has four angles.

2. **Identifying the Angles**:
Let's denote the angles of the quadrilateral as \( \angle A \), \( \angle B \), \( \angle C \), and \( \angle D \).

3. **Using the Formula**:
The sum of the interior angles of any polygon can be calculated using the formula:
\[ \text{Sum of angles} = (n - 2) \times 180^\circ \]
where \( n \) is the number of sides in the polygon. For a quadrilateral, \( n = 4 \).

4. **Calculating the Sum**:
Plugging \( n = 4 \) into the formula:
\[ \text{Sum of angles} = (4 - 2) \times 180^\circ = 2 \times 180^\circ = 360^\circ \]

5. **Conclusion**:
Therefore, the sum of the angles of a quadrilateral is \( 360^\circ \).

### Final Answer:
The sum of the angles of a quadrilateral is **360 degrees**.

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