Answer:
[tex]x=11[/tex]
Step-by-step explanation:
Angle EFB = 180 - 147 = 33 (Angles on a straight line add up to 180 degrees)
Angle FEB = 180 - 4x (Angles on a straight line add up to 180 degrees)
Since the angles in a triangle add up to 180 degrees ,
[tex]33+(180-4x)+x=180[/tex]
Remove brackets:
[tex]33+180-4x+x=180[/tex]
Add/Subtract:
[tex]213-3x=180[/tex]
Subtract 213 from both sides:
[tex]213-3x-213=180-213[/tex]
[tex]-3x=-33[/tex]
Divide both sides by -3:
[tex]\frac{-3x}{-3}=\frac{-33}{-3}[/tex]
[tex]x=11[/tex]
