Respuesta :

Hrishii

Answer:

[tex]m\angle FGC =101\degree [/tex]

Step-by-step explanation:

[tex]m\angle CBF = 46\degree[/tex] (Given)

[tex]m\angle FIG = 55\degree[/tex] (Given)

[tex]m\angle IFG = m\angle CBF[/tex] (Corresponding angles)

[tex]\implies m\angle IFG = 46\degree[/tex]

[tex]m\angle FGC =m\angle IFG+ m\angle FIG[/tex]

(By exterior angle theorem)

[tex]m\angle FGC =46\degree+ 55\degree [/tex]

[tex]m\angle FGC =101\degree[/tex]

Here

  • <IFG=<IBC as lines are parallel

Using the formula

sum of interiors=external

  • m<FGC=m<IFG+m<GIF
  • m<FGC=55+46°
  • m<FGC=101°