SOLUTION: A student claimed that the sum of the measures of the interior angles of a 10-sided polygon is 1800 degree. Her proof was to connect a point in the interior with the vertices to

Question 475813: A student claimed that the sum of the measures of the interior angles
of a 10-sided polygon is 1800 degree. Her proof was to connect a point in the interior with the vertices to form 10 triangles. Thus 10 x 180 degree. What do you think about the proof? Explain your reasoning.

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Umm if you connect a point in the interior with the rest of the vertices, you would form eight triangles, not ten. Given a fixed vertex A1, you can create triangles A1A2A3, A1A3A4, ..., A1A9A10, in which there are eight triangles, sum of the interior angles is 8*180 = 1440.
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