Respuesta :

Solution:

Note that:

  • Sum of interior angles = 180°
  • (5x + 7) + (4x + 16) + (5x + 17) = 180

Simplify the equation to find x.

  • (5x + 7) + (4x + 16) + (5x + 17) = 180
  • => (14x + 40) = 180
  • => 14x = 140
  • => x = 10

Sum of angles=180

[tex]\\ \rm\bull\rightarrowtail 5x+7+4x+16+5x+17=180[/tex]

[tex]\\ \rm\bull\rightarrowtail 14x+40=180[/tex]

[tex]\\ \rm\bull\rightarrowtail 14x=140[/tex]

[tex]\\ \rm\bull\rightarrowtail x=10[/tex]