To find the sum of the interior angles of a square (and generally for any regular polygon), we can use the formula derived from the concept of triangle decomposition.
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Understanding the Formula: The sum of the interior angles \( S \) of a polygon with \( n \) sides can be determined using the formula: \[ S = (n - 2) \times 180° \] This formula arises because a polygon can be divided into \( n - 2 \) triangles, each having an interior angle sum of 180°.
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Applying to a Square: A square is a regular polygon that has 4 sides (\( n = 4 \)). Using the formula: \[ S = (4 - 2) \times 180° = 2 \times 180° = 360° \]
Therefore, the sum of the angles of a square is 360°.
The correct response is:
- The sum of the angles of a square is 360°.