The measure of one of the regular octagon angles of the shape is 135 degrees regardless of the size of the octagon.

One interior angle of a regular octagon.
The exterior angles measure 315 degrees.
Each internal angle of a regular octagon is 135 degrees.
Since we are dealing with an octagon we would do the following steps.
The measure of each interior angle of a regular polygon is always.
Sum interior angles number of sides 2 1800 8 2 1800 10800 the sum of the interior angles of an octagon is 10800 in a regular octagon divide by 8 for each angle 1350.
The external angle of a regular octagon is 225 degrees.
This means that the interior angles are all 135.
In this lesson students learn the definition of a regular polygon as well as the following formulas related to regular polygons.
So the interior angles of a regular octagon is 135 degrees.
The formula to figure out the size of the interior angles of a regular polygon is 180n 2n n is the number of sides the polygon has.
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