1. The problem asks for the measure of each interior angle of a regular polygon with 12 sides. 2. 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 $n$ is the number of sides. 3. For this polygon, $n = 12$. 4. Substitute $n = 12$ into the formula: $$\text{Interior angle} = \frac{(12-2) \times 180^\circ}{12} = \frac{10 \times 180^\circ}{12}$$ 5. Calculate the numerator: $$10 \times 180^\circ = 1800^\circ$$ 6. Now divide: $$\frac{1800^\circ}{12} = 150^\circ$$ 7. Therefore, each interior angle of the regular 12-sided polygon measures $150^\circ$.