the sum of the angle measures of the polygon is 540. write and solve an equation to find the value of x

(angles 85 (5x) (5x) (5x -10) (5x +5)

Respuesta :

[tex]\\ \sf\longmapsto 85+5x+5x+5x-10+5x+5=540[/tex]

[tex]\\ \sf\longmapsto 5x+5x+5x+5x+85-10+5=540[/tex]

[tex]\\ \sf\longmapsto 20x+80=540[/tex]

[tex]\\ \sf\longmapsto 20x=540-80=460[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{460}{20}[/tex]

[tex]\\ \sf\longmapsto x=23[/tex]

Step-by-step explanation:

  • 85+5x+5x+(5x -10)+(5x +5)=540
  • 85+5x+5x+5x -10+5x +5=540
  • 80+20x=540
  • 20x=540-80
  • 20x=460
  • x=460/20
  • x=23