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5. identify the following polygon. // identifique el siguiente polígono.

Question

  1. identify the following polygon. // identifique el siguiente polígono.

Explanation:

Step1: Count the number of sides

A polygon's name is based on the number of sides. Let's count the sides of the given figure. From the diagram, we can see that there are 3 sides (the lengths are 6.6, 10, and 4.6, and three angles: \(23^\circ\), \(123^\circ\), \(34^\circ\)).

Step2: Identify the polygon type

A polygon with 3 sides is called a triangle. Also, we can check the sum of angles: \(23^\circ + 123^\circ+ 34^\circ= 180^\circ\), which confirms it's a triangle (since the sum of interior angles of a triangle is \(180^\circ\)).

Answer:

Triangle (or Triángulo in Spanish, but in the context of identifying the polygon, the standard name is Triangle)