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  2. Regular polygon - Wikipedia

    en.wikipedia.org/wiki/Regular_polygon

    Internal angle sum ) ... a regular polygon is a polygon that is direct ... degrees, with the sum of the exterior angles equal to 360 degrees or 2π radians or ...

  3. Internal and external angles - Wikipedia

    en.wikipedia.org/wiki/Internal_and_external_angles

    The interior angle concept can be extended in a consistent way to crossed polygons such as star polygons by using the concept of directed angles.In general, the interior angle sum in degrees of any closed polygon, including crossed (self-intersecting) ones, is then given by 180(n–2k)°, where n is the number of vertices, and the strictly positive integer k is the number of total (360 ...

  4. Polygon - Wikipedia

    en.wikipedia.org/wiki/Polygon

    Exterior angle – The exterior angle is the supplementary angle to the interior angle. Tracing around a convex n-gon, the angle "turned" at a corner is the exterior or external angle. Tracing all the way around the polygon makes one full turn, so the sum of the exterior angles must be 360°. This argument can be generalized to concave simple ...

  5. Regular triacontagon - Wikipedia

    en.wikipedia.org/wiki/Triacontagon

    One interior angle in a regular triacontagon is 168 degrees, meaning that one exterior angle would be 12°. The triacontagon is the largest regular polygon whose interior angle is the sum of the interior angles of smaller polygons: 168° is the sum of the interior angles of the equilateral triangle (60°) and the regular pentagon (108°).

  6. Regular icosagon - Wikipedia

    en.wikipedia.org/wiki/Icosagon

    The regular icosagon has Schläfli symbol {20}, and can also be constructed as a truncated decagon, t{10}, or a twice-truncated pentagon, tt{5}. One interior angle in a regular icosagon is 162°, meaning that one exterior angle would be 18°. The area of a regular icosagon with edge length t is

  7. Icositetragon - Wikipedia

    en.wikipedia.org/wiki/Icositetragon

    The sum of any icositetragon's interior angles is 3960 degrees. ... meaning that one exterior angle would ... In particular this is true for regular polygons with ...

  8. Decagon - Wikipedia

    en.wikipedia.org/wiki/Decagon

    In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, "ten angles") is a ten-sided polygon or 10-gon. [1] The total sum of the interior angles of a simple decagon is 1440°. Regular decagon

  9. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    In Euclidean geometry, the sum of the exterior angles of a simple convex polygon, if only one of the two exterior angles is assumed at each vertex, will be one full turn (360°). The exterior angle here could be called a supplementary exterior angle. Exterior angles are commonly used in Logo Turtle programs when drawing regular polygons.