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Angles formed by two rays are also known as plane angles as they lie in the plane that contains the rays. Angles are also formed by the intersection of two planes; these are called dihedral angles. Two intersecting curves may also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection.
Internal and external angles. In geometry, an angle of a polygon is formed by two adjacent sides.For a simple polygon (non-self-intersecting), regardless of whether it is convex or non-convex, this angle is called an internal angle (or interior angle) if a point within the angle is in the interior of the polygon.
The corresponding angles as well as the corresponding sides are defined as appearing in the same sequence, so for example if in a polygon with the side sequence abcde and another with the corresponding side sequence vwxyz we have vertex angle a appearing between sides a and b then its corresponding vertex angle v must appear between sides v and w.
A side and the two angles adjacent to it (ASA) A side, the angle opposite to it and an angle adjacent to it (AAS). For all cases in the plane, at least one of the side lengths must be specified. If only the angles are given, the side lengths cannot be determined, because any similar triangle is a solution.
The side chain dihedral angles are designated with χ n (chi-n). [10] They tend to cluster near 180°, 60°, and −60°, which are called the trans, gauche −, and gauche + conformations. The stability of certain sidechain dihedral angles is affected by the values φ and ψ. [11]
The trigonometric functions for acute angles can be defined as ratios of the sides of a right triangle. For a given angle, a right triangle may be constructed with this angle, and the sides labeled opposite, adjacent and hypotenuse with reference to this angle according to the definitions above.
Corresponding angles are the four pairs of angles that: have distinct vertex points, lie on the same side of the transversal and; one angle is interior and the other is exterior. Two lines are parallel if and only if the two angles of any pair of corresponding angles of any transversal are congruent (equal in measure).
Adjacent angles, two angles that share a common ray; Adjacent channel in broadcasting, a channel that is next to another channel; Adjacency matrix, a matrix that represents a graph; Adjacency pairs in pragmatics, paired utterances such as a question and answer; Adjacent side (polygon), a side that shares an angle with another given side
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