Question

Delta Math:
Finding Angles (Level 1) 1/5
Full explanation please
will give brainlist

Answer 1

Answer:

$m\angle FGC =101\degree$

Step-by-step explanation:

$m\angle CBF = 46\degree$ (Given)

$m\angle FIG = 55\degree$ (Given)

$m\angle IFG = m\angle CBF$ (Corresponding angles)

$\implies m\angle IFG = 46\degree$

$m\angle FGC =m\angle IFG+ m\angle FIG$

(By exterior angle theorem)

$m\angle FGC =46\degree+ 55\degree$

$m\angle FGC =101\degree$

Answer 2

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°