In Figure, l , m and n are parallel line...

In Figure, `l , m and n` are parallel lines intersected by a transversal at `X , Y , and Z` respectively. Find `/_1,\ \ /_2\ a n d /_3.` Give reasons.
`Let /_1=3x and /_2=2x`
`/_1+/_2=180^@`
`=>5x=180^@`
`x=36^@`
`/_1=108^@,/_2=72^@`
Since `m∥n \and\ l` is the intersector
`/_3=/_1=108^@` and `/_4=/_2=72^@` (Opposite angles
`/_7=/_5=/_2=72^@`
`=/_5=72^@`
`/_6=108^@=/_8`

Text Solution

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`Let /_1=3x and /_2=2x`
`/_1+/_2=180^@`
`=>5x=180^@`
`x=36^@`
`/_1=108^@,/_2=72^@`
Since `m∥n \and\ l` is the intersector
`/_3=/_1=108^@` and `/_4=/_2=72^@` (Opposite angles
`/_7=/_5=/_2=72^@`
`=/_5=72^@`
`/_6=108^@=/_8`

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