Respuesta :

Answer:

x=52

Step-by-step explanation:    

Original Equation: (3x-6)+(2x-8)+(x+10)+(x)=360

Combine Like Terms: 7x-4=360

Distribute: 7x=356

Simplify: x=52

the sum of all interior angles in a polygon is

180( n - 2), where n = number of sides.

now, this one has four sides, or namely a quadrilateral, so it has a total of 180( 4 - 2) = 360, or namely 360° total for its interior angles, that said

[tex](3x-6)~~ + ~~(2x-8)~~ + ~~(x+10)~~ + ~~(x)~~ = ~~360 \\\\\\ 7x-4=360\implies 7x=364\implies x=\cfrac{364}{7}\implies x=52[/tex]

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