(n-2) x 180
n being the number of sides that the shape has
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The sum of the interior angles of an n-sided polygon is 180n - 360 degrees.
Oh, dude, a regular polygon? That's like a shape where all the sides and angles are the same. So, if you want the interior angles to be 165.6 degrees, you can calculate it by dividing 360 (the total degrees in a circle) by the number of sides in the polygon. If you do the math and find a whole number of sides that gives you 165.6 degrees, then sure, you can have a regular polygon with interior angles of 165.6.
Each interior angle = sum of angles/number of sides
The formula to find the sum of interior angles of a polygon is 180° × (n - 2), where n is the number of sides of the polygon.
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. Once you have the sum, divide by the number of sides to find an individual angle.