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In the adjoining figure find /x...

In the adjoining figure find `/_x`

Text Solution

Verified by Experts

We have,
`127^(@)=angle1+angle3...(1)` (exterior angle theorem)
Also, `137^(@) =angle1+angle2....(2)` (exterior angle theorem)
Adding (1) and (2), we get
`angle1+angle3+angle1+angle2=127^(@)+137^(@)`
or `(angle1+angle2+angle3) +angle1 =264^(@)`
`rArr 180^(@)+angle1=264^(@)" "` (Angle sum propery)
`rArr angle1 =264^(@)-180^(@)`
`rArr angle =84^(@)`
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