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In the given figure, AB||DEandBD||FG suc...

In the given figure, `AB||DEandBD||FG` such that `angleABC=50^(@)andangleFGH=120^(@)`. Find the values of x and y.

Text Solution

Verified by Experts

The correct Answer is:
`x=70^(@),y=60^(@)`
`angleCDE=angleABC=50^(@)" "["alt.int"angles]`
`BD||FGandDF` is the transversal.
`:.angleEFG=angleCDE=50^(@)."Also",y=(180^(@)-120^(@))=60^(@)`.
`x+y+angleEFG=180^(@)impliesx+60^(@)+50^(@)=180^(@)impliesx=70^(@)`.
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