FergusG454386 FergusG454386
  • 03-11-2022
  • Mathematics
contestada

the measure of an interior angle of a regular polygon is given find the number of sides in the polygon

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ChrissM83178 ChrissM83178
  • 03-11-2022

EXPLANATION.

1.Find the number of sides in the polygon with an interior angle of 160 degrees.

The exercise is as follows:

[tex]\begin{gathered} 160n=(n-2)\times180 \\ 160n=(180\times n)-(180\times2) \\ 160n=180n-360 \\ 160n-180n=-360 \\ -20n=-360 \\ n=\frac{-360}{-20} \\ n=18, \\ \text{the answer is 18 sides } \end{gathered}[/tex]

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