What is the measure of an exterior angle of a regular polygon of 6 sides?

Options

A. `45^@`
B. `60^@`
C. `40^@`
D. `36^@`

Answer

To find the measure of an exterior angle of a regular polygon with 6 sides, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the number of sides (n)**:
For a regular polygon with 6 sides, we have:
\[ n = 6 \]

2. **Use the formula for the measure of an exterior angle**:
The formula to calculate the measure of each exterior angle of a regular polygon is:
\[ \text{Exterior angle} = \frac{360^\circ}{n} \]

3. **Substitute the value of n into the formula**:
Now we substitute \( n = 6 \) into the formula:
\[ \text{Exterior angle} = \frac{360^\circ}{6} \]

4. **Perform the division**:
Now, we calculate the division:
\[ \text{Exterior angle} = 60^\circ \]

5. **Conclusion**:
Therefore, the measure of an exterior angle of a regular polygon with 6 sides is:
\[ \text{Exterior angle} = 60^\circ \]

### Final Answer:
The measure of an exterior angle of a regular polygon with 6 sides is **60 degrees**.

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