In the given figure, `AB|CD` and EF is a transversal. If `angleAGE= 110^(@)`, find `/_x, /_y and /_z`, marked in the figure

Answer

`70^(@)`

Explanation

Since, `/_AGE = 110^@`
`implies /_x=110^@`......(Vertically opposite angles)
Given that, `AB||CD`, `implies /_x=/_y=/_110^@`.......(Alternate Interior Angles)
`implies /_y+/_z=180^@`........(Linear Pair)
`implies 110^@+/_z=180^@`
`implies/_z=180^@-110^@`
`implies /_z=70^@`
`:. /_x = 110^@`
`/_y=110^@`
`/_z=70^@`