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Question about Angle Classification

Mathematics

Originais Teachy

Angle Classification

Easy

(Originais Teachy 2023) - Question Easy of Mathematics

In a Geometry class, students were challenged to identify and classify the angles formed by the diagonals of a convex polygon. They noticed that the number of right angles was equal to twice the number of obtuse angles and that there were no acute angles in the figure. Considering that the polygon has a total of 10 angles, how many acute angles does the polygon have and how many right angles does it have? Given that a convex polygon is a flat figure bounded by three or more straight segments that do not intersect except at their endpoints, and that a right angle measures exactly 90 degrees, an obtuse angle measures more than 90 degrees, and an acute angle measures less than 90 degrees.
a.
The polygon has 4 acute angles and 4 right angles.
b.
The polygon has 2 acute angles and 6 right angles.
c.
The polygon has 4 acute angles and 6 right angles.
d.
The polygon has 2 acute angles and 4 right angles.
e.
The polygon has 6 acute angles and 2 right angles.

Answer sheet:

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