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Oleg Titov · Answer 1 · 2023-05-26T06:03:07+0000

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

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

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