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360° 180° – N

360° 180° – N

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Use the formula below to find the internal bond angles for a 12-sided regular polygon

The image displays a mathematical expression used in geometry, particularly when working with polygons. The expression is: \[ 180^\circ - \frac{360^\circ}{N} \] ### Explanation: - **180°**: This is a constant term, representing 180 degrees. - **\(- \frac{360^\circ}{N}\)**: This represents 360 degrees divided by \(N\), where \(N\) typically stands for the number of sides in a polygon. This formula is often used to calculate the measure of an interior angle of a regular polygon. By subtracting the exterior angle \(\left(\frac{360^\circ}{N}\right)\) from 180°, you obtain the measure of each interior angle in a polygon with \(N\) sides.
Transcribed Image Text:The image displays a mathematical expression used in geometry, particularly when working with polygons. The expression is: \[ 180^\circ - \frac{360^\circ}{N} \] ### Explanation: - **180°**: This is a constant term, representing 180 degrees. - **\(- \frac{360^\circ}{N}\)**: This represents 360 degrees divided by \(N\), where \(N\) typically stands for the number of sides in a polygon. This formula is often used to calculate the measure of an interior angle of a regular polygon. By subtracting the exterior angle \(\left(\frac{360^\circ}{N}\right)\) from 180°, you obtain the measure of each interior angle in a polygon with \(N\) sides.
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