Question

Please please help!

Answer 1

Since
`A \parallel B`, we know
`m \angle3 = 4x + 5` since they are corresponding angles. Then since
`(3x + 7) + m\angle 3 = 180` (supplementary), we can substitute to get

`(3x + 7) + (4x + 5) = 180`

`7x + 12 = 180`

`7x = 168`

`x = \boxed{24}`

We know
`m\angle 6 = 3x + 7`, since they are corresponding angles, so

`m \angle 6 = 3(24) + 7 = \boxed{79}`