Each angle of a regular hexagon is:

Options

A. `60^@`
B. `120^@`
C. `90^@`
D. none of these

Answer

To find the measure of each angle in a regular hexagon, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the number of sides (n)**:
A hexagon has 6 sides. Therefore, \( n = 6 \).

2. **Use the formula for the sum of interior angles**:
The formula to find the sum of the interior angles of a polygon is:
\[ \text{Sum of interior angles} = (n - 2) \times 180^\circ \]
Substituting \( n = 6 \):
\[ \text{Sum of interior angles} = (6 - 2) \times 180^\circ = 4 \times 180^\circ = 720^\circ \]

3. **Calculate each interior angle**:
Since a regular hexagon has all angles equal, we divide the total sum of the angles by the number of angles (which is equal to the number of sides):
\[ \text{Each angle} = \frac{\text{Sum of interior angles}}{n} = \frac{720^\circ}{6} = 120^\circ \]

4. **Conclusion**:
Each angle of a regular hexagon is \( 120^\circ \).

### Final Answer:
Each angle of a regular hexagon is **120 degrees**.

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