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In Fig. 6.40, /X=62^@, /X Y Z=54^@. If Y...

In Fig. 6.40, `/_X=62^@, ``/_X Y Z=54^@`. If YO and ZO are the bisectors of `/_X Y Z` and `/_X Z Y` respectively of `DeltaX Y Z,` find `/_O Z Y` and `/_Y O Z`.

Text Solution

Verified by Experts

As the sum of all interior angles of a triangle is 180º, therefore, for `triangleXYZ`,
`angleX + angleXYZ + angleXZY = 180^@`
`62^@ + 54^@ + angleXZY = 180^@`
`angleXZY = 180^@ − 116^@`
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