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Find the measure of angle x in the adjoi...

Find the measure of `angle x` in the adjoining figure.

Text Solution

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We know that it `DeltaABC,`
`rArr angleA|angleB|angleC=180^(@)` (angle sum property)
`rArr 94^(@)+40^(@)+angleC=180^(@)`
`rArr angle C=180^(@)-134^(@)=46^(@)`

Now, in `DeltaEDC`,
`x+110^(@)+angleC=80^(@)` (angle sum propery)
`rArr x|110^(@)+46^(@)=180^(@)`
`rArr x=24^(@)`
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