so1963
so1963 so1963
  • 27-01-2021
  • Mathematics
contestada

What is the value of z?

What is the value of z class=

Respuesta :

UnLedZep
UnLedZep UnLedZep
  • 27-01-2021

Answer:

68°

Step-by-step explanation:

Every figure must sum 180°(Sides-2) degrees

Example: For a triangle (3 sides) 180°(3-2) => 180°(1) =>180°

In this case: 5 sides 180°(5-2) => 540°

So all the angles (5) must sum 540°

Mathematically expressed as:

[tex](119)+(z)+(2z)+(70)+(2z)+(11)=540\\119+z+2z+70+2z+11=540\\200+5z=540\\5z=540-200\\5z=340\\z=\frac{340}{5}\\z=68'[/tex]

Lets see changing every Z by 68...

119+68+2(68)+70+2(68)+11

119+68+136+70+136+11=540°

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