Answered

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1. For a polygon with 10 sides, which equation represents the sum of the interior angles in the polygon?

A. (180)(8) = 1440°
B. (180)(10) = 1800°
C. (360)(8) = 2880°
D. (360)(10) = 3600°

Sagot :

GinnyAnswer
To determine the sum of the interior angles of a polygon with 10 sides, we use the formula for the sum of the interior angles of an [tex]\( n \)[/tex]-sided polygon:

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

Given that the polygon has [tex]\( n = 10 \)[/tex] sides, we substitute [tex]\( n \)[/tex] into the formula:

[tex]\[ \text{Sum of interior angles} = (10 - 2) \times 180^\circ \][/tex]
[tex]\[ \text{Sum of interior angles} = 8 \times 180^\circ \][/tex]
[tex]\[ \text{Sum of interior angles} = 1440^\circ \][/tex]

Therefore, the correct equation that represents the sum of the interior angles in the polygon is:

[tex]\[ \sum (180)(8) = 1440° \][/tex]
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