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  2. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    The equality of vertically opposite angles is called the vertical angle theorem. ... The complementary angles a and b (b is the complement of a, ...

  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. Transversal (geometry) - Wikipedia

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

    Alternate angles are the four pairs of angles that: have distinct vertex points, lie on opposite sides of the transversal and; both angles are interior or both angles are exterior. If the two angles of one pair are congruent (equal in measure), then the angles of each of the other pairs are also congruent.

  5. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    Two angles whose sum is π/2 radians (90 degrees) are complementary. In the diagram, the angles at vertices A and B are complementary, so we can exchange a and b, and change θ to π/2 − θ, obtaining: ⁡ (/) = ⁡

  6. Right angle - Wikipedia

    en.wikipedia.org/wiki/Right_angle

    The straight lines which form right angles are called perpendicular. [8] Euclid uses right angles in definitions 11 and 12 to define acute angles (those smaller than a right angle) and obtuse angles (those greater than a right angle). [9] Two angles are called complementary if their sum is a right angle. [10]

  7. Complementary angle - Wikipedia

    en.wikipedia.org/?title=Complementary_angle&...

    This page was last edited on 24 November 2014, at 19:00 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.

  8. These Gorgeous Christmas Tree Toppers Are Seriously the Peak ...

    www.aol.com/gorgeous-christmas-tree-toppers...

    $53.00 at . Punched Star Christmas Tree Topper. Just like a woman well dressed, Crate & Barrel's Punched Star Christmas Tree Topper looks good from every angle of the room, thanks to its three ...

  9. Zenith - Wikipedia

    en.wikipedia.org/wiki/Zenith

    In astronomy, the altitude in the horizontal coordinate system and the zenith angle are complementary angles, with the horizon perpendicular to the zenith. The astronomical meridian is also determined by the zenith, and is defined as a circle on the celestial sphere that passes through the zenith, nadir, and the celestial poles .