Summative 7 Find the measure of each interior angle of a regular octagon. Show your work.

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To find the measure of each interior angle of a **regular octagon**, follow these steps:

### Step 1: Understand the Properties of a Regular Octagon
- A **regular octagon** has **8 sides**.
- All sides are of equal length, and all interior angles are equal.

### Step 2: Use the Formula for the Interior Angle of a Regular Polygon
The formula to find the measure of each interior angle of a regular polygon is:

$$
\text{Interior Angle} = \frac{(n - 2) \times 180^\circ}{n}
$$

where:
- $$ n $$ = number of sides

### Step 3: Plug in the Values
For an octagon, $$ n = 8 $$.

$$
\text{Interior Angle} = \frac{(8 - 2) \times 180^\circ}{8}
$$

$$
\text{Interior Angle} = \frac{6 \times 180^\circ}{8}
$$

### Step 4: Perform the Calculation
$$
\text{Interior Angle} = \frac{1080^\circ}{8} = 135^\circ
$$

### Conclusion
Each interior angle of a **regular octagon** measures **135 degrees**.
Each interior angle of a regular octagon is 135 degrees.

Summative 7 Find the measure of each interior angle of a regular octagon. Show your work.

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