Line AB is a straight line
m<AOB = 180 Angles in a straight line is 180 degree
m<AOE +m <EOF+ m <FOB=m<AOB Angle sum property
x+2x+34+20=180 Substitution
x=42 Algebra
Explanation :
Given Line AB is a straight line
Angle in a straight line is 180 degree
[tex]m<AOB = 180[/tex] Angles in a straight line is 180 degree
All these angles is equal to angle AOB
[tex]m<AOE +m <EOF+ m <FOB=m<AOB[/tex] Angle sum property
Now replace the expression for all the angles
[tex]x+2x+34+20=180[/tex] Substitution
Solve the above equation for x
[tex]x+2x+34+20=180\\Combine \; like \; terms \\3x+54=180\\3x=180-54\\3x=126\\divide \; by \; 3\\x=42[/tex] Algebra
The value of x is 42
Learn more : brainly.com/question/945847
