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3d the sum of the measure of the interior angles of each polygon. \( \begin{array}{lll}\text { Hexagon } & \text { 8. 20-gon } & \text { 9. Nonagon }\end{array} \)

Ask by West Fernandez. in the United States
Feb 27,2025

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The sums of the interior angles are: - Hexagon: 720° - 20-gon: 3240° - Nonagon: 1260°

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The sum of the measures of the interior angles of a polygon can be calculated using the formula \( (n - 2) \times 180^\circ \), where \( n \) is the number of sides. For a hexagon (6 sides), the sum is \( (6 - 2) \times 180^\circ = 720^\circ \). For a 20-gon, it’s \( (20 - 2) \times 180^\circ = 3240^\circ \), and for a nonagon (9 sides), the sum is \( (9 - 2) \times 180^\circ = 1260^\circ \). So, you end up with the following totals: Hexagon: 720°, 20-gon: 3240°, and Nonagon: 1260°. Now you’re all set for a geometry party! Just don't forget to bring a protractor!

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