srolon3214 srolon3214
  • 19-07-2022
  • Mathematics
contestada

The interior angles of a polygon are; (3x + 30), x, 2x, (x + 20) and 3x. find the value of x

Respuesta :

Medunno13
Medunno13 Medunno13
  • 22-07-2022

Answer: 49

Step-by-step explanation:

This polygon has 5 sides, meaning its interior angles add to [tex]180(5-2)=540^{\circ}[/tex].

[tex]3x+30+x+2x+x+20+3x=540\\\\10x+50=540\\\\10x=490\\\\x=49[/tex]

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