Wilson Hamilton
07/02/2023 · Middle School
For regular polygons all internal angles have the same The size of a single internalangle may be found using the formula:
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Step-by-step Solution
For a regular polygon with \( n \) sides, the size of a single internal angle can be calculated using the formula:
\[
\text{Internal Angle} = \frac{(n - 2) \times 180^\circ}{n}
\]
Where:
- \( n \) is the number of sides of the polygon.
- \( 180^\circ \) is the total degrees in a triangle, and since a polygon can be divided into \( n - 2 \) triangles, we multiply by \( (n - 2) \).
This formula gives you the measure of each internal angle in degrees for a regular polygon.
Quick Answer
The formula to find the size of a single internal angle in a regular polygon with \( n \) sides is:
\[
\text{Internal Angle} = \frac{(n - 2) \times 180^\circ}{n}
\]
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