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Question about Regular Polygons: Angles and Diagonals

Mathematics

Originais Teachy

Regular Polygons: Angles and Diagonals

Easy

(Originais Teachy 2025) - Question Easy of Mathematics

While constructing a geometric garden, the architects opted for a regular polygon at the centre of the flower arrangement. They went with a regular octagon to create a sense of symmetry and balance in the design. Given this choice, calculate the internal angle at each vertex of the octagon and figure out how many diagonals run through the centre of this shape.
a.
Internal angle = 135° and number of diagonals that pass through the centre = 4.
b.
Internal angle = 140° and number of diagonals that pass through the centre = 3.
c.
Internal angle = 120° and number of diagonals that pass through the centre = 4.
d.
Internal angle = 150° and number of diagonals that pass through the centre = 4.
e.
Internal angle = 135° and number of diagonals that pass through the centre = 3.

Answer sheet:

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Answer sheet

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