Question

I need help answering this question

Answer 1

Answer:

$x = 17$

Step-by-step explanation:

Since line m is parallel to line n, therefore:

$(6x + 5) + (5x - 12) = 180$ (consecutive interior angles are supplementary)

Solve for x

$6x + 5 + 5x - 12 = 180$

Add like terms

$11x - 7 = 180$

Add 7 to both sides

$11x - 7 + 7 = 180 + 7$

$11x = 187$

Divide both sides by 11

$\frac{11x}{11} = \frac{187}{11}$

$x = 17$