SOLUTION: What is the total interior angle of a regular polygon if t=20 triangles can be drawn inside the polygon?

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Question 1116880: What is the total interior angle of a regular polygon if t=20 triangles can be drawn inside the polygon?
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


The statement of the problem is not clear, leading to two different obvious possible interpretations and probably many others, leading to different answers to the question.

In a regular polygon with n sides, the polygon can be divided into n triangles if the triangles have as a common point the center of the polygon; it can be divided into (n-2) triangles if the triangles have as a common point one of the vertices of the polygon.

Saying that 20 triangles "can be drawn inside the polygon" leaves the question open to all kinds of possible interpretations.