What is the sum of all angles of a hexagon?

Options

A. 180°
B. 360°
C. 540°
D. 720°

Answer

To find the sum of all angles of a hexagon, we can use the formula for the sum of the interior angles of a polygon. The formula is:

**Sum of interior angles = (n - 2) × 180°**

where **n** is the number of sides of the polygon.

### Step-by-Step Solution:

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

2. **Substitute n into the formula**:
We will substitute n = 6 into the formula:
\[ \text{Sum of interior angles} = (6 - 2) \times 180° \]

3. **Calculate (n - 2)**:
\[ 6 - 2 = 4 \]

4. **Multiply by 180°**:
Now we will multiply 4 by 180°:
\[ 4 \times 180° = 720° \]

5. **Conclusion**:
The sum of all angles of a hexagon is 720°.

### Final Answer:
The sum of all angles of a hexagon is **720 degrees**.