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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. 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.

  4. Spherical trigonometry - Wikipedia

    en.wikipedia.org/wiki/Spherical_trigonometry

    Use Napier's rules to solve the triangle ABD: use c and B to find the sides AD and BD and the angle ∠BAD. Then use Napier's rules to solve the triangle ACD: that is use AD and b to find the side DC and the angles C and ∠DAC. The angle A and side a follow by addition.

  5. 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]

  6. List of primary education systems by country - Wikipedia

    en.wikipedia.org/wiki/List_of_primary_education...

    2nd grade: 7 to 8 years old; 3rd grade: 8 to 9 years old; 4th grade: 9 to 10 years old; 5th grade: 10 to 11 years old; 6th grade: 11 to 12 years old; 7th grade: 12 to 13 years old; 8th grade: 13 to 14 years old; 9th grade: 14 to 15 years old; Primary school is followed by the optional three years called Ensino Médio (former Científico, Liceu ...

  7. Which foods are considered 'healthy?' FDA issues new label ...

    www.aol.com/news/foods-considered-healthy-fda...

    The new labels rules, for instance, add salmon, eggs, olive oil, nuts and whole grains to the list of "healthy" foods and remove foods with high amounts of added sugars.

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