mckenly81 mckenly81
  • 13-02-2022
  • Mathematics
contestada

Please help!!, I don’t understand this at all

Please help I dont understand this at all class=

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jdoe0001 jdoe0001
  • 13-02-2022

well, keeping in mind that the sum of all exterior angles in a polygon always add up  to 360°, and those angles in the picture are all exterior angles, so then

[tex]79~~ + ~~(x+10)~~ + ~~(2x)~~ + ~~(x-1)~~ = ~~360\implies 88+4x=360 \\\\\\ 4x=272\implies x=\cfrac{272}{4}\implies \boxed{x=68}[/tex]

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