Question
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=°
Answers
Answered by
GPT-4o mini
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 \(150^\circ\).
\[
\text{Interior Angle} = \frac{(n-2) \times 180^\circ}{n}
\]
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 \(150^\circ\).