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Ashraf82

The measure of an exterior angle of a regular 7-sided polygon is

51.4° to the nearest tenth degree

Step-by-step explanation:

In any regular polygon of n sides

  • The measure of each interior angle is [tex]\frac{(n-2)*180}{n}[/tex]
  • The measure of each exterior angle is [tex]\frac{360}{n}[/tex]
  • The interior angle and its exterior angle at any vertex of the polygon are supplementary

∵ The polygon is regular

∵ The polygon has 7 sides

∴ n = 7

∵ The measure of each exterior angle = [tex]\frac{360}{n}[/tex]

∴ The measure of each exterior angle = [tex]\frac{360}{7}[/tex]

∴ The measure of each exterior angle = 51.4° to the nearest tenth

The measure of an exterior angle of a regular 7-sided polygon is

51.4° to the nearest tenth degree

Learn more:

You can learn more about polygons in brainly.com/question/6564657

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