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What is the sum of the measures of the interior angles of an octagon?
degrees

Ask by Hanson Brewer. in the United States
Jan 21,2025

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The sum of the interior angles of an octagon is 1080 degrees.

Solución

The sum of the measures of the interior angles of a polygon can be calculated using the formula:
where is the number of sides in the polygon.
For an octagon, which has sides:
So, the sum of the measures of the interior angles of an octagon is .

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Extra Insights

The sum of the measures of the interior angles of an octagon can be calculated using the formula , where is the number of sides. For an octagon, which has 8 sides, the calculation is degrees. So, the interior angles of an octagon add up to a whopping 1080 degrees!
If you’re ever working on a project and need to measure angles for an octagonal shape, it’s useful to remember that each interior angle of a regular octagon is 135 degrees. So you can imagine cutting your polygon into 8 equal slices, giving you that neat and equal angle every time!

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