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In the given figure, the side BC of Delt...

In the given figure, the side BC of `DeltaABC` has been produced on the left-hand side from B to D and on the right-hand side from C to E. If `angleABD=106^(@)andangleACE=118^(@)`, find the meaure of each angle of the triangle.

Text Solution

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The correct Answer is:
`angleA=44^(@),angleB=74^(@),angleC=62^(@)`
`angleABC=(180^(@)-106^(@))=74^(@),angleACB=(180^(@)-118^(@))=62^(@)`.
`74^(@)+62^(@)+angleBAC=180^(@)`. Find `angleACB`.
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