Question
The polygon that it's sides are equal in length, number of sides is 13 , what about it's angels?
Answers
GPT-4o mini
A polygon with equal side lengths is called a regular polygon. For a regular polygon with \( n \) sides, the measure of each interior angle can be calculated using the formula:
\[
\text{Interior Angle} = \frac{(n - 2) \times 180^\circ}{n}
\]
For a regular polygon with \( n = 13 \) sides (a regular triskaidecagon), the calculation would be:
\[
\text{Interior Angle} = \frac{(13 - 2) \times 180^\circ}{13} = \frac{11 \times 180^\circ}{13} = \frac{1980^\circ}{13} \approx 152.31^\circ
\]
So, each interior angle of a regular 13-sided polygon measures approximately \( 152.31^\circ \).
\[
\text{Interior Angle} = \frac{(n - 2) \times 180^\circ}{n}
\]
For a regular polygon with \( n = 13 \) sides (a regular triskaidecagon), the calculation would be:
\[
\text{Interior Angle} = \frac{(13 - 2) \times 180^\circ}{13} = \frac{11 \times 180^\circ}{13} = \frac{1980^\circ}{13} \approx 152.31^\circ
\]
So, each interior angle of a regular 13-sided polygon measures approximately \( 152.31^\circ \).