AntronC277645 AntronC277645
  • 28-10-2022
  • Mathematics
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The sum of measures of the.interior angle of a polygon is 1080 degrees . Determine the number of sife the polygon has.

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KerimK392937 KerimK392937
  • 28-10-2022

Sum of interiors angles = 1080

But Formular for interior angle is given by

Sum of interiors angles = (n - 2)180

1080 = (n - 2)180

[tex]\begin{gathered} \frac{1080}{180}\text{ = n - 2} \\ 6\text{ = n - 2} \\ 6+\text{ 2 = n} \\ n\text{ = 8} \end{gathered}[/tex]

The number of sides of the polygon is = 8

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