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Sagot :
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°
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