To develop the formula for the interior angle sum of regular polygons, we can start by using the angle sum of a triangle.
The angle sum of a triangle is always 180 degrees. A square can be divided into two congruent right triangles, so the sum of the interior angles of a square would be twice the angle sum of a triangle.
Angle sum of a square = 2 * Angle sum of a triangle
= 2 * 180°
= 360°
Therefore, the interior angle sum of a square is 360 degrees.
Now, let's test this formula by finding the sum of the interior angles of a square.
The formula states that the sum of the angles of a square is 360°.
So, the sum of the angles of a square is indeed 360°, which confirms the validity of the formula.
Use the angle sum of triangles to develop the interior angle sums of regular polygons formula using decomposition. Test the formula by finding the sum of the interior angles of a square.
The sum of the angles of a square is 1, 440)".
The sum of the angles of a square is 182"
The sum of the angles of a square is 1,080",
The sum of the angles of a square is 360°.
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