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In the adjoining figure, show that angle...

In the adjoining figure, show that `angleA+angleB+angleC+angleD+angleE+angleF=360^(@)`

Text Solution

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Divide the whole figuer into two triangles, namely `DeltaDFBandDeltaEAC`.
`:.angleA+angleB+angleC+angleD+angleE+angleF`
`=(angleA+angleC+angleE)+(angleB+angleD+angleF)`
`=(180^(@)+180^(@))=360^(@)`.
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