Find the sum of the interior angles of the an 8-sided polygon.

Answer

To find the sum of the interior angles of an 8-sided polygon (also known as an octagon), we can use the formula for the sum of the interior angles of a polygon, which is given by:

\[ \text{Sum of interior angles} = (n - 2) \times 180^\circ \]

where \( n \) is the number of sides of the polygon.

### Step-by-Step Solution:

1. **Identify the number of sides (n)**:
- For an octagon, \( n = 8 \).

2. **Substitute the value of n into the formula**:
\[ \text{Sum of interior angles} = (8 - 2) \times 180^\circ \]

3. **Perform the subtraction**:
\[ 8 - 2 = 6 \]

4. **Multiply by 180 degrees**:
\[ \text{Sum of interior angles} = 6 \times 180^\circ \]

5. **Calculate the multiplication**:
\[ 6 \times 180 = 1080^\circ \]

6. **Conclusion**:
- The sum of the interior angles of an 8-sided polygon (octagon) is \( 1080^\circ \).

### Final Answer:
The sum of the interior angles of an 8-sided polygon is \( 1080^\circ \).

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