If the external angle of a polygon is 60° then the polygon is:

Options

A. Pentagon
B. Hexagon
C. Dodecagon
D. Octagon

Answer

To determine the type of polygon based on the given external angle of 60°, we can use the formula for the external angle of a regular polygon:

1. **Understanding the Formula**: The external angle of a regular polygon can be calculated using the formula:
\[ \text{External angle} = \frac{360°}{n} \]
where \( n \) is the number of sides of the polygon.

2. **Setting Up the Equation**: Since we know the external angle is 60°, we can set up the equation:
\[ 60° = \frac{360°}{n} \]

3. **Solving for \( n \)**: To find \( n \), we can rearrange the equation:
\[ n = \frac{360°}{60°} \]

4. **Calculating \( n \)**: Now, we perform the division:
\[ n = 6 \]

5. **Identifying the Polygon**: A polygon with 6 sides is known as a hexagon.

Thus, the polygon with an external angle of 60° is a **hexagon**.

### Final Answer:
The polygon is a **hexagon**.