Answer:
[tex] x = 17 [/tex]
Step-by-step explanation:
Since line m is parallel to line n, therefore:
[tex] (6x + 5) + (5x - 12) = 180 [/tex] (consecutive interior angles are supplementary)
Solve for x
[tex] 6x + 5 + 5x - 12 = 180 [/tex]
Add like terms
[tex] 11x - 7 = 180 [/tex]
Add 7 to both sides
[tex] 11x - 7 + 7 = 180 + 7 [/tex]
[tex] 11x = 187 [/tex]
Divide both sides by 11
[tex] \frac{11x}{11} = \frac{187}{11} [/tex]
[tex] x = 17 [/tex]
