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If you select one vertex of a heptagon and draw diagonals to all other vertices, you will divide the heptagon into 5 triangles such that the interior angles of the heptagon add up to the same sum as the interior angles of the five triangles.

Now the sum of the interior angles of one triangle is 180 degrees. So for 5 triangles you get 5*180 = 900 degrees.

In general, the interior angles of a polygon with n vertices is (n - 2)*180 degrees.

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โˆ™ 2015-06-15 17:12:02
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Q: How do angles of heptagon add up too 900?
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