Question
What is the measure of an interior of a regular 15 gon
Answers
Answered by
GPT-4o mini
To find the measure of an interior angle of a regular polygon, you can use the formula:
\[
\text{Interior Angle} = \frac{(n - 2) \times 180^\circ}{n}
\]
where \( n \) is the number of sides in the polygon. For a regular 15-gon (\( n = 15 \)):
\[
\text{Interior Angle} = \frac{(15 - 2) \times 180^\circ}{15} = \frac{13 \times 180^\circ}{15} = \frac{2340^\circ}{15} = 156^\circ
\]
Therefore, the measure of an interior angle of a regular 15-gon is \( 156^\circ \).
\[
\text{Interior Angle} = \frac{(n - 2) \times 180^\circ}{n}
\]
where \( n \) is the number of sides in the polygon. For a regular 15-gon (\( n = 15 \)):
\[
\text{Interior Angle} = \frac{(15 - 2) \times 180^\circ}{15} = \frac{13 \times 180^\circ}{15} = \frac{2340^\circ}{15} = 156^\circ
\]
Therefore, the measure of an interior angle of a regular 15-gon is \( 156^\circ \).
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