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Question about Right and Non-Right Angles

Mathematics

Originais Teachy

Right and Non-Right Angles

Hard

(Originais Teachy 2023) - Question Hard of Mathematics

In a Math class, students were challenged to identify right and non-right angles in different figures. João has a drawing of a garden where the paths form various types of angles in relation to the flower beds. He knows that a right angle is formed by two perpendicular lines, and that a non-right angle can be acute (smaller than a right angle) or obtuse (larger than a right angle, but smaller than 180 degrees). João wants to know how many right and non-right angles (acute and obtuse) exist in the drawing of the garden. Given that the garden is completely composed of paths that intersect at flower beds, and that he has already identified a perfect square with 4 right angles, help João determine the total number of right and non-right angles in the garden drawing.
a.
The total number of right angles is 4 times the number of flower beds, and the total number of non-right angles is 2 times the number of intersection points of the paths in the garden.
b.
The total number of right angles is twice the number of flower beds, and the total number of non-right angles is the same as the number of flower beds.
c.
The total number of right angles is three times the number of flower beds, and the total number of non-right angles is the same as the number of flower beds.
d.
The total number of right angles is half the number of flower beds, and the total number of non-right angles is twice the number of flower beds.
e.
The total number of right angles is the same as the number of intersection points of the paths in the garden, and the total number of non-right angles is the same as the number of flower beds.

Answer sheet:

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