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There's a really handy little formula. The total number of degrees in a polygon (the sum of the interior angles) is equal to (2n-4) right angles or (2n-4)x90 degrees.

So for an octagon, the sum of the interior angles is 2x8-4 right angles = 16-4 right angles = 12 right angles or 12x90 degrees = 1080 degrees. To find one angle, divide this by 8 and you get 135 degrees.

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8y ago
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8y ago

Each interior angle of any regular polygon, or n-gon, is 180 degrees - (360 degrees / n).

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Q: How do you find the angle in a regular octagon?
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Related questions

What is the exterior angle of a octagon?

The external angle of a regular octagon is 225 degrees. Each internal angle of a regular octagon is 135 degrees.


Find the measure of each exterior angle of a regular ctagon?

Each exterior angle of a regular octagon measures 45 degrees


What is the angle for a regular octagon?

Each interior angle of an 8 sided regular octagon is 135 degrees and each exterior angle is 45 degrees


What is the measure of each interior angle of a regular octagon?

135 Each interior angle of a regular octagon measures 135 degrees.


What is the measure of an angle of a regular octagon?

An interior angle of a regular octagon is 45 degrees. The exterior angles measure 315 degrees.


What is the measures of each interior angle of a regular octagon?

135 Each interior angle of a regular octagon measures 135 degrees.


What is a measure of an interior angle of a regular octagon?

Each interior angle of a regular 8 sided octagon measures 135 degrees


The sum of the interior angle measures of an octagon is what?

For a regular octagon it is 1080


What is the angle measure of one angle in a regular octagon?

135


How did you get how many degrees are in one exterior angle of a regular octagon?

Each exterior angle of a regular octagon: 360/8 = 45 degrees


What is the measure of each interior angle in regular octagon?

Each interior angle of a regular 8 sided octagon measures 135 degrees


What is the measurement of each interior angle in an octagon?

Providing that it is a regular octagon then each interior angle will measure 135 degrees