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]
