Answered

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What is the sum of the interior angles of a regular heptagon?

A. 3600
B. 12600
C. 9000
D. 10800

Sagot :

GinnyAnswer
To find the sum of the interior angles of a regular heptagon, we use the formula for the sum of the interior angles of a polygon. The formula is:

[tex]\[ \text{Sum of interior angles} = (n - 2) \times 180 \][/tex]

where [tex]\( n \)[/tex] is the number of sides of the polygon. For a heptagon, [tex]\( n = 7 \)[/tex].

Plugging in the value:

[tex]\[ \text{Sum of interior angles} = (7 - 2) \times 180 \][/tex]
[tex]\[ \text{Sum of interior angles} = 5 \times 180 \][/tex]
[tex]\[ \text{Sum of interior angles} = 900 \][/tex]

So, the sum of the interior angles of a regular heptagon is 900 degrees. Therefore, the correct answer is:

C. 900
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