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The number of triangles multiplied by their angle sum (180 degrees), is the sum of the angle measures of the polygon.

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11y ago
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8mo ago

In a polygon with n sides, the sum of the interior angles is given by (n-2) * 180 degrees. Each triangle has interior angle sum of 180 degrees. Therefore, the number of triangles that can be formed in a polygon is equal to (n-2) * 180 / 180, which simplifies to (n-2). In other words, the number of triangles is two less than the number of sides in the polygon.

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Q: What is the relationship between the number of triangles and the sum of the angle measures of the polygon?
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