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The measure of the interior angles of a regular heptagon is approximately 128.6 degrees.

There are 2 ways to work this out:

Find the total of all the angles and divide by 7:

In an n-sided figure the interior angles sum to (n-2) x 180 degrees.

For a heptagon, n=7, so total angles = (7-2) x 180 = 5 x 180 = 900 degrees

So each angle = 900 / 7 ~= 128.6 degrees.

Calculate the exterior angle and then subtract from 180 degrees to get the interior angle:

The sum of the exterior angles of a polygon is 360 degrees;

Divide 360 degrees by the number of angles (= number of sides)

Exterior angle of heptagon is 360 / 7 ~= 51.4 degrees;

Interior angle ~= 180 - 51.4 = 128.6 degrees

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