Respuesta :

Answer:

<A = 44

Step-by-step explanation:

The sum of the angles of a triangle is 180

3x+1  + 2x-15  + x+14  = 180

Combine like terms

6x =180

Divide by 6

6x/6 = 180/6

x =30

Angle A = x+14 = 30+14 = 44

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

we know that, sum of all interior angles of a triangle is 180°

so,

  • [tex]3x + 1 + 2x - 15 + x + 14 = 180[/tex]

  • [tex]6x = 180[/tex]

  • [tex]x = \dfrac{180}{6} [/tex]

  • [tex]x = 30 \degree[/tex]

Let's find Angle A :

  • [tex]x + 14[/tex]

  • [tex]30 + 14[/tex]

  • [tex]44 \degree[/tex]

hope it helps....