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2. 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 ...

3. 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°.

4. Icositetragon - Wikipedia

   en.wikipedia.org/wiki/Icositetragon

   The sum of any icositetragon's interior angles is 3960 degrees. Regular icositetragon ... In particular this is true for regular polygons with evenly many sides, in ...

5. Vertex (geometry) - Wikipedia

   en.wikipedia.org/wiki/Vertex_(geometry)

   In a polygon, a vertex is called "convex" if the internal angle of the polygon (i.e., the angle formed by the two edges at the vertex with the polygon inside the angle) is less than π radians (180°, two right angles); otherwise, it is called "concave" or "reflex". [5]

6. Congruence (geometry) - Wikipedia

   en.wikipedia.org/wiki/Congruence_(geometry)

   AAS (angle-angle-side): If two pairs of angles of two triangles are equal in measurement, and a pair of corresponding non-included sides are equal in length, then the triangles are congruent. AAS is equivalent to an ASA condition, by the fact that if any two angles are given, so is the third angle, since their sum should be 180°.

7. Rectilinear polygon - Wikipedia

   en.wikipedia.org/wiki/Rectilinear_polygon

   A rectilinear polygon is a polygon all of whose sides meet at right angles. Thus the interior angle at each vertex is either 90° or 270°. Rectilinear polygons are a special case of isothetic polygons. In many cases another definition is preferable: a rectilinear polygon is a polygon with sides parallel to the axes of Cartesian coordinates ...