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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. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    A green angle formed by two red rays on the Cartesian coordinate system. In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. [1] Angles formed by two rays are also known as plane angles as they lie in the plane that contains the rays

  4. File:Vertical Angles.svg - Wikipedia

    en.wikipedia.org/wiki/File:Vertical_Angles.svg

    2006-09-04 01:44 Braindrain0000 223×291× (8937 bytes) Graphic showing vertical angles, where opposite angles have the same measure. Created by me and released into public domain Created by me and released into public domain

  5. Distance from a point to a line - Wikipedia

    en.wikipedia.org/wiki/Distance_from_a_point_to_a...

    The vertical side of ∆TVU will have length |A| since the line has slope -A/B. ∆ PRS and ∆ TVU are similar triangles , since they are both right triangles and ∠ PSR ≅ ∠ TUV since they are corresponding angles of a transversal to the parallel lines PS and UV (both are vertical lines). [ 6 ]

  6. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  7. Vertical - Wikipedia

    en.wikipedia.org/wiki/Vertical

    Vertical is a geometric term of location which may refer to: Vertical direction, the direction aligned with the direction of the force of gravity, up or down; Vertical (angles), a pair of angles opposite each other, formed by two intersecting straight lines that form an "X" Vertical (music), a musical interval where the two notes sound ...