What does internal and external angle mean?
Definitions for internal and external angle
in·ter·nal and ex·ter·nal an·gle
This dictionary definitions page includes all the possible meanings, example usage and translations of the word internal and external angle.
Wikipedia
internal and external angle
In geometry, an angle of a polygon is formed by two sides of the polygon that share an endpoint. For a simple (non-self-intersecting) polygon, regardless of whether it is convex or non-convex, this angle is called an interior angle (or internal angle) if a point within the angle is in the interior of the polygon. A polygon has exactly one internal angle per vertex. If every internal angle of a simple polygon is less than π radians (180°), then the polygon is called convex. In contrast, an exterior angle (also called an external angle or turning angle) is an angle formed by one side of a simple polygon and a line extended from an adjacent side.: pp. 261-264
Wikidata
Internal and external angle
In geometry, an interior angle is an angle formed by two sides of a polygon that share an endpoint. For a simple, convex or concave of the polygon, this angle will be an angle on the 'inner side' of the polygon. A polygon has exactly one internal angle per vertex. If every internal angle of a simple, closed polygon is less than 180°, the polygon is called convex. In contrast, an exterior angle is an angle formed by one side of a simple, closed polygon and a line extended from an adjacent side. The sum of the internal angle and the external angle on the same vertex is 180°. The sum of all the internal angles of a simple, closed polygon is 180° where n is the number of sides. The formula can by proved using mathematical induction and starting with a triangle for which the angle sum is 180°, and then adding a vertex and two sides, etc. The sum of the external angles of any simple closed polygon is 360°. The concept of 'interior angle' 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 ones, is then given by 180° where n is the number of vertices and k = 0, 1, 2, 3 ... represents the number of total revolutions of 360° one undergoes walking around the perimeter of the polygon. In other words, 360k° represents the sum of all the exterior angles. For example, for ordinary convex and concave polygons k = 1, since the exterior angle sum = 360° and one undergoes only one full revolution walking around the perimeter.
Numerology
Chaldean Numerology
The numerical value of internal and external angle in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of internal and external angle in Pythagorean Numerology is: 7
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"internal and external angle." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/internal+and+external+angle>.
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