Answer:
m<6 = 54
St,ep-by-step explanation:
Lines b and c are parallel.
13x +9 and 5x+9 are consecutive exterior angles.
Consecutive exterior angles are supplementary.
[tex]13x+9+5x+9= 180[/tex]
Now we solve for x. combine like terms
[tex]18x+18= 180[/tex]
Subtract 18 from both sides
[tex]18x=162[/tex]
Divide both sides by 18
x=9
So the value of x=9
angle 6 and 5x+9 are vertical opposite angles . they are equal
m<6= 5x+9
Plug in 9 for x
m<6= 5(9)+9=54
m<6 = 54
