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Find the sum of the interior angles for a hexagon.

A. [tex]\(540^{\circ}\)[/tex]
B. [tex]\(720^{\circ}\)[/tex]
C. [tex]\(900^{\circ}\)[/tex]
D. [tex]\(1,080^{\circ}\)[/tex]

Sagot :

GinnyAnswer
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].
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