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

Please help!!, I don’t understand this at all-example-1
asked
User ElizaS
by
8.0k points

1 Answer

5 votes

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


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

answered
User Oleg Titov
by
7.7k points

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