Question

I need help answering this question

Answer 1

`x = 17`

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

`(11x)/(11) = (187)/(11)`

`x = 17`