MHB Angles & Diagonals of a Pentagon: Explained

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The discussion clarifies the relationship between the angles and diagonals of a pentagon, stating that there are five distinct interior angles and five distinct diagonals, resulting in a 1:1 ratio. This relationship is unique to pentagons, as not all polygons exhibit the same ratio. Participants seek visual aids, like colored diagrams or labeled illustrations, to better understand the concept of distinct diagonals. The diagonals are described as the lines that connect non-adjacent vertices, forming a star shape within the pentagon. Visual representation is emphasized as a helpful tool for comprehension.
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Can somebody simply this sentence:
there are relationships among the angles of a pentagon and its diagonals. For example, the ratio of distinct interior angles to distinct diagonals is exactly 1 : 2.
?
Can somebody explain it in simple words, please...
 
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The correct text is:
there are relationships among the angles of a pentagon and its diagonals. For example, the ratio of distinct interior angles to distinct diagonals is exactly 1 : 1.
?
Can somebody explain it to me?
 
What they are saying is the the number of distinct interior angles and the number of distinct diagonals is the same:

4-simplex_t0.svg


There are 5 of each, and so for each interior angle there is a distinct diagonal (this is not true for all polygons, only pentagons).
 
What is distinct diagonals?
Can you color them in the picture or put letters or ect...
So I see it.
 
highmath said:
What is distinct diagonals?
Can you color them in the picture or put letters or ect...
So I see it.

The diagonals are the lines within the pentagon, making the "star" within.
 

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