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Sagot :
To find the sum of the interior angles of a hexagon, follow these steps:
1. Identify the number of sides: A hexagon has 6 sides.
2. Understand the formula for the sum of the interior angles of a polygon: The formula for the sum of the interior angles of any polygon is [tex]\((n - 2) \times 180\)[/tex] degrees, where [tex]\(n\)[/tex] is the number of sides.
3. Substitute the number of sides into the formula: For a hexagon, [tex]\(n = 6\)[/tex].
[tex]\[ (n - 2) \times 180 = (6 - 2) \times 180 \][/tex]
4. Simplify the expression:
[tex]\[ (6 - 2) = 4 \][/tex]
[tex]\[ 4 \times 180 = 720 \][/tex]
5. Conclusion: The sum of the interior angles of a hexagon is [tex]\(720\)[/tex] degrees.
So, the correct answer is [tex]\(\boxed{720^\circ}\)[/tex].
1. Identify the number of sides: A hexagon has 6 sides.
2. Understand the formula for the sum of the interior angles of a polygon: The formula for the sum of the interior angles of any polygon is [tex]\((n - 2) \times 180\)[/tex] degrees, where [tex]\(n\)[/tex] is the number of sides.
3. Substitute the number of sides into the formula: For a hexagon, [tex]\(n = 6\)[/tex].
[tex]\[ (n - 2) \times 180 = (6 - 2) \times 180 \][/tex]
4. Simplify the expression:
[tex]\[ (6 - 2) = 4 \][/tex]
[tex]\[ 4 \times 180 = 720 \][/tex]
5. Conclusion: The sum of the interior angles of a hexagon is [tex]\(720\)[/tex] degrees.
So, the correct answer is [tex]\(\boxed{720^\circ}\)[/tex].
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