Respuesta :

Answer:

x = 10°

Explanation:

All the interior angles of the triangle sum up to 180°

  • here given angle 1: 6x - 16°
  • here given angle 2:  6x + 19°
  • here given angle 3: 57°

Therefore:

6x - 16° + 6x + 19° + 57° = 180°

12x + 60° = 180°

12x = 180° - 60°

12x = 120°       [ divide both sides by 12 ]

x = 10°

Apply angle sum property

[tex]\\ \tt\Rrightarrow 6x-16+6x+19+57=180[/tex]

[tex]\\ \tt\Rrightarrow 12x+60=180[/tex]

[tex]\\ \tt\Rrightarrow 12x=180-60[/tex]

[tex]\\ \tt\Rrightarrow 12x=120[/tex]

[tex]\\ \tt\Rrightarrow x=10[/tex]

ACCESS MORE