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A regular octagon Is shown below what is the measure of each interior angle?135°144°140°120°

A regular octagon Is shown below what is the measure of each interior angle?135°144°140°120°-example-1

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The formula for the sum of the interior angles of a polygon is

(n-2) * 180 where n is the number of sides

An octagon has 8 sides so n = 8

(8-2) * 180

6 * 180

1080

Since it is regular, that means all the angles are the same

We can divide by the number of angles to find the measure of each angle

1080/8 =135

Each angle is 135

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