Question

In the figure, `/_1 =60^(@)` and `/_6 =120^(@)` Show that the lines m and n are parallel.

Answer 1

Given IN the figure `/_1 =60^(@)` and `/_6 =120^(@)`
To show `" " m|""|n`
Proof Since,` " " /_1 =60^(@) and /_6 =120^(@)`
Here,` " "/_1 = /_3 " " `[vertically opppsite angles]
`:. " "/_3 = /_1 = 60^(@)`
Now ` " "/_3 + /_6 = 60^(@) +120^(@)`
`rArr " "/_3 + /_6 = 180^(@)`
We konw that, if the sum of two interior angles on same side of l is `180^(@)`, then lines are parallel.
Hence, m`|""|`n