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Find x^@ from the given figure....

Find `x^@` from the given figure.

Text Solution

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The sum of all the angles of a triangle `=180^(@)`
`:."In" Delta OBD`
`angle BOD +60^(@)+38^(@)=180^(@)`
or `angleBOD=180^(@)-98^(@)=82^(@)`
`:. angle AOC=angle BOD -82^(@)` (vertically opposite angles)

Now, in `DeltaAOC`
`x+53^(@)+82^(@)=180^(@)`
or `x=45^(@)`
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