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  2. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    Rhomboid: a parallelogram in which adjacent sides are of unequal lengths, and some angles are oblique (equiv., having no right angles). Informally: "a pushed-over oblong". Not all references agree; some define a rhomboid as a parallelogram that is not a rhombus. [4] Rectangle: all four angles are right angles (equiangular). An equivalent ...

  3. Langley's Adventitious Angles - Wikipedia

    en.wikipedia.org/wiki/Langley's_Adventitious_Angles

    A direct proof using classical geometry was developed by James Mercer in 1923. [2] This solution involves drawing one additional line, and then making repeated use of the fact that the internal angles of a triangle add up to 180° to prove that several triangles drawn within the large triangle are all isosceles.

  4. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    Angle trisection is the construction, using only a straightedge and a compass, of an angle that is one-third of a given arbitrary angle. This is impossible in the general case. For example, the angle 2 π /5 radians (72° = 360°/5) can be trisected, but the angle of π /3 radians (60°) cannot be trisected. [8]

  5. Right kite - Wikipedia

    en.wikipedia.org/wiki/Right_kite

    A right kite with its circumcircle and incircle. The leftmost and rightmost vertices have right angles. In Euclidean geometry, a right kite is a kite (a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other) that can be inscribed in a circle. [1]

  6. 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°.

  7. Brain health, sleep, diet: 3 health resolutions for 2025

    www.aol.com/brain-health-sleep-diet-3-111100590.html

    In this podcast episode, Medical News Today shares three actionable resolutions that can help improve brain, heart, and metabolic health in the new year via diet, sleep, and exercise. Brain health ...

  8. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    An angle smaller than a right angle (less than 90°) is called an acute angle [6] ("acute" meaning "sharp"). An angle equal to ⁠ 1 / 4 ⁠ turn (90° or ⁠ π / 2 ⁠ radians) is called a right angle. Two lines that form a right angle are said to be normal, orthogonal, or perpendicular. [7]

  9. College Football Playoff: Who has best, worst path to ...

    www.aol.com/college-football-playoff-best-worst...

    4) Penn State The Big Ten runner-up looks to have an easier path to the national championship than the Big Ten champion , a potential flaw to be addressed in the wake of this year's bracket reveal.

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