you draw a regular dodecagon using computer software to create precise equal angle measures. what would be the degree measure of one interior angle?(1 point)one interior angle=°

1 answer

To find the degree measure of one interior angle of a regular dodecagon (a polygon with 12 sides), you can use the formula for the interior angle of a regular polygon:

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

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

For a dodecagon, \(n = 12\):

\[ \text{Interior Angle} = \frac{(12-2) \times 180^\circ}{12} \]

\[ = \frac{10 \times 180^\circ}{12} \]

\[ = \frac{1800^\circ}{12} \]

\[ = 150^\circ \]

So, the degree measure of one interior angle of a regular dodecagon is \(150^\circ\).