ljsherwood42
ljsherwood42 ljsherwood42
  • 22-02-2022
  • Mathematics
contestada

Find the value of x if the figure is a regular polygon.

Find the value of x if the figure is a regular polygon class=

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jdoe0001 jdoe0001
  • 22-02-2022

taking a peek at this regular polygon hmm is has 6 sides, so is a hexagon, ok.

[tex]\textit{sum of all interior angles in regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=6 \end{cases}\implies 6\theta =180(6-2) \\\\\\ 6\theta =180(4)\implies 6\theta =720\implies \theta =\cfrac{720}{6}\implies \boxed{x=\theta =120}[/tex]

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