Respuesta :

LunaGirl25

Answer:

[tex]x = 10°[/tex]

[tex]z = 66°[/tex]

Step-by-step explanation:

[tex](9x - 24)° + (12x - 6)° = 180°\\21x° - 30° = 180° \\ 21 x° = 180° + 30° \\ 21x° = 210° \\ x° = \frac{180°}{30°} \\ x° = 10°[/tex]

z° = 9x - 24 ( vertically opposite )

z° = 9(10) - 24

z° = 90 - 24

z° = 66°

Hope it is helpful.....

Sunshine1994

Answer:

x° = 10°

z° = 66°

Step-by-step explanation:

[tex]First \: we \: will \: find \: x \: value[/tex]

  • [tex](9x−24)°+(12x−6)°=18 {0}^{o} [/tex]
  • [tex]21x−30°=180° [/tex]
  • [tex]21x°=180°+30° [/tex]
  • [tex]21x°=210° [/tex]
  • [tex]x°= \frac{210}{21} [/tex]
  • [tex]x = 10 [/tex]

[tex]let's \: find \: z \: value[/tex]

  • z° = 9x° - 24° ( vertically opposite )
  • z° = 9(10) - 24°
  • z° = 90° - 24°
  • z° = 66°

Hope it is helpful....

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