Prove that the sum of the interior angles of a regular polygon can be calculated with the formula (n-2)×180°, where n is the number of sides.

Answer 1

To prove that the sum of the interior angles of a regular polygon is (n-2)×180°, consider dividing the polygon into (n-2) triangles. Each triangle has an angle sum of 180°. Thus, the total interior angle sum is (n-2)×180°.

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