Question

Lines b and c are parallel. What is the measure of <6?

m<6 = 45
m<6 = 54
m<6 = 117
m<6 = 126

Answer 1

m<6 = 54

Explanation:

Answer 2

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.

`13x+9+5x+9= 180`

Now we solve for x. combine like terms

`18x+18= 180`

Subtract 18 from both sides

`18x=162`

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