Respuesta :

Answer:

  • x = 67
  • y = 121
  • z = 65

Step-by-step explanation:

We know that:

  • y - 9 + x + 1 = 180
  • z + 3 + 112 = 180
  • y - 9 + z + 3 = 180
  • x + 1 + 112 = 180
  • y - 9 = 112
  • x + 1 = z + 3
  • y - 9 + x + 1 + z + 3 + 112 = 360

Solution of x:

  • x + 1 + 112 = 180
  • => x + 113 = 180
  • => x = 180 - 113
  • => x = 67

Solution of y:

  • => y - 9 + x + 1 = 180
  • => y - 9 + 67 + 1 = 180
  • => y + 59 = 180
  • => y = 180 - 59
  • => y = 121

Solution of z:

  • => x + 1 = z + 3
  • => 67 + 1 = z + 3
  • => 68 = z + 3
  • => z = 68 - 3
  • => z = 65

Hence, the answers are:

  • x = 67
  • y = 121
  • z = 65

Check:

  • y - 9 + x + 1 + z + 3 + 112 = 360
  • => 121 - 9 + 67 + 1 + 65 + 3 + 112 = 360
  • => 360 = 360

Hence, the answers are proved as correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]